Question

What are the approximate solutions of 4x2 + 2x = 17, rounded to the nearest hundredth?

x ≈ −2.33 and x ≈ 1.83
x ≈ −1.83 and x ≈ 2.33
x ≈ −9.31 and x ≈ 7.31
No real solutions

Answer 1

Use the quadratic formula to solve. -2 +\- √(2)^2 - 4(4)(-17) / 2(4). Simplify to -2 +\- √276/8. √276 is about 16.61. Now, do -2 +16.61/8 which is 1.83, and -2 -16.61/8 which is -2.33. A is your solution

Answer 2

The solutions are -2.33 and 1.83

A is correct.

Explanation:

Given:
`4x^2+2x=17`

First we make quadratic equation and then use quadratic formula.

`4x^2+2x=17`

Subtract 17 both sides

`4x^2+2x-17=0`

Quadratic formula:

`x=(-b\pm √(b^2-4ac))/(2a)`

where, a=4 , b=2 , c=-17

`x=(-2\pm √(2^2-4(4)(-17)))/(2(4))`

`x=(-2\pm √(276))/(8)`

`x=(-2\pm 16.61)/(8)`

`x=-2.33\text{ or }1.83`

Hence, The solutions are -2.33 and 1.83