Question

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

Answer 1

Answer:

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Step-by-step explanation:

The solutions are -2.33 and 1.83

A is correct.

Step-by-step explanation:

Given: 4x^2+2x=174x2+2x=17

First we make quadratic equation and then use quadratic formula.

4x^2+2x=174x2+2x=17

Subtract 17 both sides

4x^2+2x-17=04x2+2x−17=0

Quadratic formula:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}x=2a−b±b2−4ac

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

x=\dfrac{-2\pm \sqrt{2^2-4(4)(-17)}}{2(4)}x=2(4)−2±22−4(4)(−17)

x=\dfrac{-2\pm \sqrt{276}}{8}x=8−2±276

x=\dfrac{-2\pm 16.61}{8}x=8−2±16.61

x=-2.33\text{ or }1.83x=−2.33 or 1.83

Hence, The solutions are -2.33 and 1.83