Question

solve √2x²+7x+5√2 =0 by factorisation​

Answer 1

Step-by-step explanation:

Hope, it helpful for you

Answer 2

Answer:

-2 and 5/√2

Step-by-step explanation:

Given:-

quadratic equation is √2x²+7x+5√2 =0

To find:-

solve √2x²+7x+5√2 =0 by factorisation.

Solution:-

Given quadratic equation is√2x²+7x+5√2 =0

It can be written as√2x²+2x+5x+5√2 =0

=>√2x(x+√2)+5(x+√2)=0

=>(x+2)(√2x+5)=0

=>x+2= 0 or √2x+5=0

=>x=-2 or √2x=-5=>x=5/√2

The roots are -2 and 5/√2

5/√ 2 can be written as (5/√2)×(√2/√2)

=>5√2/2

Answer:-

The roots are -2 and 5/√2 =5√2/2

Factorization method:-

In this method we have to split the middle term

7x can be written as 5x+2x

since √2×5√2=5×2=10

factors of 10 :-

10=1×10

10=2×5

10=5×2

10=10×1

2 and 5 satisfies the given relations for the given quadratic equation