Question

find the roots of the quadratic equation root 2 X square + 7 x + 5 root 2 = 0​

Answer 1

We will factorize by

splitting the middle term method

sqrt(2) * x ^ 2 + 2x + 5x + 5sqrt(2) = 0

Splitting the middle term method We need to find two numbers whose

Sum = 7

Product t = 5sqrt(2) * sqrt(2)

= 5x 2 = 10

sqrt(2) * x ^ 2 + (sqrt(2) * sqrt(2)) * x + 5x + 5sqrt(2) = 0

Sum

7

Product

10

So,

sqrt(2) * x * (x + sqrt(2)) + 5(x + sqrt(2)) = 0

(sqrt(2) * x + 5)(x + sqrt(2)) = 0

√2x + 5 = 0

sqrt(2) * x -5

x + √2=0 x= -√2

x = - 5/(sqrt(2))

x = - 5/(sqrt(2)) * a * n * d * x = - sqrt(2) are the roots of equation