X to the power of 2= 25 what does x equal<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The equation provided is ( x^2 = 25 ).<\/p>\n\n\n\n To solve for ( x ), we need to isolate ( x ) on one side of the equation. To do this, we can take the square root of both sides of the equation.<\/p>\n\n\n\n [ Take the square root of both sides:<\/p>\n\n\n\n [ Since the square root of ( x^2 ) is ( |x| ) (the absolute value of ( x )):<\/p>\n\n\n\n [ This means ( x ) can be either positive or negative because both ( 5^2 ) and ( (-5)^2 ) will give 25.<\/p>\n\n\n\n Therefore, ( x ) can be:<\/p>\n\n\n\n [ The equation ( x^2 = 25 ) is a quadratic equation. Quadratic equations generally have two solutions because squaring a positive number and squaring its negative counterpart results in the same value. This is an important concept when solving for variables in equations involving squares.<\/p>\n\n\n\n When you square a number, you’re essentially multiplying the number by itself, and this process “loses” the information about whether the original number was positive or negative. For instance, if ( x = 5 ), then ( x^2 = 25 ), but if ( x = -5 ), ( (-5)^2 = 25 ) as well. This demonstrates why both positive and negative values for ( x ) are solutions.<\/p>\n\n\n\n In real-world contexts, this idea applies to situations where both directions (positive and negative) can yield the same result. For example, if you’re looking for the value of a number whose square is 25, you would need to account for both positive 5 and negative 5.<\/p>\n\n\n\n Thus, the two solutions to ( x^2 = 25 ) are:<\/p>\n\n\n\n [ X to the power of 2= 25 what does x equal The Correct Answer and Explanation is: The equation provided is ( x^2 = 25 ). Solving for ( x ): To solve for ( x ), we need to isolate ( x ) on one side of the equation. To do this, we can […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-169918","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169918","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=169918"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169918\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169918"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Solving for ( x ):<\/h3>\n\n\n\n
x^2 = 25
]<\/p>\n\n\n\n
\\sqrt{x^2} = \\sqrt{25}
]<\/p>\n\n\n\n
|x| = 5
]<\/p>\n\n\n\n
x = 5 \\quad \\text{or} \\quad x = -5
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n
x = 5 \\quad \\text{or} \\quad x = -5
]<\/p>\n","protected":false},"excerpt":{"rendered":"