Question

Factorise 2x 2 + 7x + 5√2 = 0 by completing the following activity Solution: 2x 2 + 7x + 5√2 = 0 ∴ 2x 2 + 5x + 2x + 5√2 = 0 ∴ x(√2x + 5) + √2 _____= 0 ∴ _____ (x + √2) = 0 ∴ _____ = 0 or x + √2 = 0 ∴ x = _____ or x = − √2 ∴ The roots of the given quadratic equation are _____ and −√2.​

Answer 1

Answer:

\[\\sqrt{2}x^2 + 7x + 5\sqrt{2}=0\]

\[\sqrt{2}x^2 + 5x + 2x + 5\sqrt{2} = 0\]

\[x\left( \sqrt{2}x+ 5 \right) + \sqrt{2}\left( \sqrt{2}x+ 5 \right) = 0\]

\[\left( \sqrt{2}x + 5 \right)\left( x + \sqrt{2}

\right) = 0\]

\[\left( \sqrt{2}x+ 5 \right) = 0 \text{ or} \left(

x + \sqrt{2} \right) = 0\]

\[\therefore x = \frac{- 5}{\sqrt{2}} \text{ or } x

=- \sqrt{2}\]

\[\therefore \frac{- 5}{\sqrt{2}} \text{ and } - \sqrt{2} \text{ are the roots of the equation }.\]

Answer 2

√2x² +7x+5√/2=0

√2x² + 5x + 2x +5√2=0

(√2x + 5) + √2 (√2x+5) = 0

√√2x+5) (x + √2) = 0

(√2x+5) = 0 or (x + √2) = 0

-5 or x = -√2

-5 √2 and -√2 are the roots of the equation

I MIGHT ME WRONG BUT IF U GET THE ANSWER LET ME KNOW