Question

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Check all that apply.

Answer 1

Explanation:

Given that Patel is solving the quadratic equation

`8x^2 + 16x + 3 = 0`

This can be done by factorisation or using formula or completion of squares method.

Since factorization does not seem to be possible let us resort to completion of squares method.

`8x^2 + 16x + 3 = 0\\8(x^2+2x)+3=0\\8(x^2+2x+1-1)+3 =0\\8(x+1)^2-8+3=0\\(x+1)^2 =(5)/(8) \\x=-1+\sqrt{ (5)/(8)}\\x=-1-\sqrt{ (5)/(8)`

Answer 2

1. A quadratic equation has the general formula expressed as:

ax^2 + bx - c = 0

This equation can be solved by the quadratic formula which is expressed as:

x = ( -b (+ or -) √(b^2 - 4ac) / 2a

From the given equation,

a = 8
b = 16
c = 3

x = ( -16 (+ or -) √(16^2 - 4(8)(3)) / 2(8)
x1 = -0.21
x2 = -1.79