Question

find the zero of quadratic equation 4x square +5√2x-3=0​

Answer 1

Answer:

Zeros of the quadratic equation are

-3/√2 and 1/2√2

Step-by-step explanation:

4x² + 5√2x - 3 = 0

4x² + 6√2x - 1√2x - 3 = 0

Here, 6√2x - 1√2x = 5√2x (middle term)

(6√2x) × (-1√2x) = -12x² (product of first term and last term)

2√2x(√2x + 3) - 1(√2x + 3) = 0

(√2x + 3)(2√2x - 1) = 0

√2x + 3 = 0 and 2√2x - 1 = 0

x = -3/√2 and x = 1/2√2