X^2 - 36=0 it’s solving quadratic equations and I need the steps

Question

asked Feb 2, 2020 15.2k views

2 Answers

Alexey Yakunin · Answer 1 · 2020-02-03T03:50:23+0000

Assignment:
$\bold{Solve \ Equation: \ X^2-36=0}$

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Answer:
$\boxed{\bold{X=6,\:X=-6}}$

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Explanation:
$\downarrow\downarrow\downarrow$

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[ Step One ] Add 36 To Both Sides

$\bold{X^2-36+36=0+36}$

[ Step Two ] Simplify

$\bold{X^2=36}$

[ Step Three ]
$\bold{\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=√(f\left(a\right)),\:\:-√(f\left(a\right))}$

$\bold{X=√(36),\:X=-√(36)}$

[ Step Four ] Simplify Equations

$\bold{√(36): \ 6}$

$\bold{-√(36): \ -6}$

[ Step Five ] Combine Solutions

$\bold{X=6,\:X=-6}$

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$\bold{\rightarrow Mordancy \leftarrow}$