Question

find the roots of the quadratic equation 4x²+3x+5 by the method of completing squares​

Answer 1

check the solution given above

Answer 2

Solution :-

Q: 4x² + 3x + 5 = 0

Dividing by 4 we get,

=> x² + 3/4x + 5/4 = 0

Here, coefficient of x = 3/4

By the method of completing squares we have to multiply 1/2 with the coefficient of x,

3/4 × 1/2 = 3/8

Now,

Adding (3/8)² both side we get,

=> x² + 3/4x + 5/4 + (3/8)² = (3/8)²

=> x² + 3/4x + (3/8)² = 9/64 - 5/4

=> x² + 3/4x + (3/8)² = - 71/64

=> (x + 3/4)² = - 71/64

Here we saw that the square of x + 3/4 has a negative value but the squaring of any number could not be negative.

Hence,

Answer doesn't exit.