Question

we have to solve this question please answers it quickly please
15x squre-8√7x+7=0​

Answer 1

❥ Question:-

$\bf \:Solve \: {15x}^{2} - 8 \sqrt{7} x + 7 = 0$

Answer :-

❥ Given:-

$\bf \:A \: quadratic \: equation \: {15x}^{2} - 8 \sqrt{7} x + 7 = 0$

❥ To Find :-

• The value of x.

❥ Method used :-

Splitting of middle terms :-

• In order to factorize  x² + bx + c we have to find numbers p and q such that p + q = b and pq = c.
• After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping the terms.

❥ Solution :-

$\bf \:{15x}^{2} - 8 \sqrt{7} x + 7 = 0$

$\bf\implies \:{15x}^{2} - 5 \sqrt{7} x - 3 \sqrt{7} x+ \sqrt{7} \times \sqrt{7} = 0$

$\bf\implies \:5x(3x - \sqrt{7} ) - \sqrt{7}(3x - \sqrt{7} ) = 0$

$\bf\implies \:(3x - \sqrt{7} )(5x - \sqrt{7} ) = 0$

$\bf\implies \:x = \dfrac{ \sqrt{7} }{3} \: or \: x = \dfrac{ \sqrt{7} }{5}$

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