7(x^2 7)=6x^2 ⇒ 7x^2 49=6x^2 ⇒ 7x^2 6x^2=49 ⇒ x^2=49 ⇒ x^2 49=0 ⇒ (x+7)(x 7)=0 ⇒ x+7=0, x 7=0 ∴ x={ 7,7} ...

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Normal Form to Standard Form

Solve: 7x2-7...

Question

Solve: $7 (x^{2} - 7) = 6 x^{2}$

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Solution

$7 (x^{2} - 7) = 6 x^{2}$
$\Rightarrow 7 x^{2} - 49 = 6 x^{2}$
$\Rightarrow 7 x^{2} - 6 x^{2} = 49$
$\Rightarrow x^{2} = 49$
$\Rightarrow x^{2} - 49 = 0$
$\Rightarrow (x + 7) (x - 7) = 0$
$\Rightarrow x + 7 = 0, x - 7 = 0$
$∴ x = {- 7, 7}$

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