Question

√x(x - 7) = √3/2.Plz solve this problem by factorisation.
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Answer 1

GIVEN :-

$\sqrt{x}(x - 7) = \frac{3}{2}$

Squaring both sides :-

$x(x - 7) = 9(2)$

${x}^{2} - 7x = 18$

${x}^{2} - 7x - 18 = 0$

${x}^{2} - 9x + 2x + 8 = 0$

$x(x - 9) + 2(x - 9) = 0$

$\red\longmapsto(x + 2)x - 9) = 0$

$\bold \red{either} \bold \red{(x - 9) = 0}$

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$\bold \red{HENCE \: \: \:\: X \: = \: 0}$

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