Question

find the roots of the quadratic equation by fectorisation
(1)
$\sqrt{2} {x}^{2} + 7x \: + 5 \sqrt{2} = 0$






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Answer 1

Answer:

√2 x^2 + 7x + 5√2 = 0

√2 x^2 + 5x + 2x + 5√2 = 0

x (√2x + 5) + √2(√2 x + 5) = 0

(x + √2) (√2x + 5) = 0

So, x = -√2. ; (-5√2) / 2