82.1k views
0 votes
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

User Harmonie
by
8.6k points

2 Answers

2 votes
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
User RoseGod
by
7.5k points
4 votes

Answer:

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

User Eon
by
8.3k points