Question

factroies :5√2x^2-x-3√2.​

Answer 1

$\large\bf\underline\red{Answer \: :-}$

Given Quadratic equation : 5√2x² - x - 3√2

Concept : First we know that the general form of the quadratic equation is ax² + bx + c = 0, but when x² have a numerical then we have to multiply with c means that a × c. Then factorise the quadratic equation.

According to the concept :

$\sf\implies{x {}^{2} - x - (3 \sqrt{2})(5 \sqrt{2} ) } \\ \\ \sf\implies{x {}^{2} - x - 15 \sqrt{4} } \\ \\ \sf\implies{x {}^{2} - x - 15(2) } \\ \\ \sf\implies{x {}^{2} - x - 30} \\ \\ \sf\implies{x {}^{2} - 6x + 5x - 30 } \\ \\ \sf\implies{x(x - 6) + 5( x - 6) = 0} \\ \\ \sf\implies{(x - 6)(x + 5) = 0} \\ \\ \sf\implies{x - 6 = 0} \\ \sf\implies \pink{x = 6} \: \: \: \: \: \: \: \\ \\ \sf\implies{x + 5 = 0} \\ \sf\implies \pink{x = - 5} \: \: \: \:$

Answer :

♠ x = 6

♠ x = - 5

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A³-2a²-at² factroies

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