Question

Solve the equation V2x +7x+5V2=0 by factorization

give correct ans frnds please​

Answer 1

Required Answer:-

Given:

√2x² + 7x + 5√2 = 0

To find:

• The roots of the given equation.

Solution:

We have,

➡ √2x² + 7x + 5√2 = 0

Here,

√2 × 5√2 = 10

We need to split 7 into two parts whose sum is 7 and product is 10. We found that,

➡ 5 × 2 = 10 and 5 + 2 = 7

So,

➡ √2x² + 2x + 5x + 5√2 = 0

➡ √2x(x + √2) + 5(x + √2) = 0

➡ (√2x + 5)(x + √2) = 0

By zero product rule,

➡ Either √2x + 5 = 0 or x + √2 = 0

➡ x = -5/√2, √2

★ Hence, the roots of the given quadratic equation are -5/√2 and -√2

Answer:

• The roots of the given quadratic equation are -5/√2 and -√2