State whether true or false:
After solving the quadratic equation $49 x^{2} = 36$ by factorization method, then $x = \pm \frac{6}{7}$

True

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False

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Solution

The correct option is A True
Given: quadratic equation $49 x^{2} = 36$
To find the $x$ by factorization method
Sol: The given equation can be written in $a x^{2} + b x + c = 0$ as
$49 x^{2} + 0 x - 36 = 0$
Now will split the middle term in order to find the value of $x$ by factorization method
$∴ 49 x^{2} - 42 x + 42 x - 36 = 0 ⟹ 7 x (7 x - 6) + 6 (7 x - 6) = 0 ⟹ (7 x - 6) (7 x + 6) = 0 ⟹ x = \pm \frac{6}{7}$

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