State whether true or false:
After solving the quadratic equation $9 x^{2} - 16 = 0$ by factorization method, then $x = \pm \frac{4}{3}$

True

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False

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Solution

The correct option is A True
Given: quadratic equation $9 x^{2} - 16$
To find the $x$ by factorization method
Sol: The given equation can be written in $a x^{2} + b x + c = 0$ as
$9 x^{2} + 0 x - 16 = 0$
Now will split the middle term in order to find the value of $x$ by factorization method
$∴ 9 x^{2} - 12 x + 12 x - 16 = 0 ⟹ 3 x (3 x - 4) + 4 (3 x - 4) = 0 ⟹ (3 x - 4) (3 x + 4) = 0 ⟹ x = \pm \frac{4}{3}$

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