Question

factorize x^2/2+6x+8​

Answer 1

Step-by-step explanation:

first take LCM

and use formula method to solve it

Answer 2

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Factorize the following:-

$\frac{x^2}{2}$+6x+8

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Let p(x)=0

→$\frac{x^2}{2}$+6x+8=0 ×multiply by 2

→x²+12x+16=0

♦using Discriminant formula:-

d=b²-4ac

d=(12)²-4×1×16

d=144-64

d=68

√d=±√80

√d=±4√5

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taking x(+)=$\frac{-b+ \sqrt{d}}{2a}$

→$\frac{-(12)+4 \sqrt{5}}{2×1}$

→$\frac{-12+4 \sqrt{5}}{2}$

→$\frac{\cancel{2}(-6+2 \sqrt{5})}{\cancel{2}}$

→$\frac{-6+2 \sqrt{5}}{1}$

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taking x(-)=$\frac{-b- \sqrt{d}}{2a}$

→$\frac{-(12)-4 \sqrt{5}}{2×1}$

→$\frac{-12-4 \sqrt{5}}{2}$

→$\frac{\cancel{2}(-6-2 \sqrt{5})}{\cancel{2}}$

→$\frac{-6-2 \sqrt{5}}{1}$

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