Question

Using the quadratic formula, solve 0 = 2x² - 10x + 7 Give each of your answers to 2 d.p.

Answer 1

Answer:

$\sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11}$

Step-by-step explanation:

Let's solve your equation step-by-step.

0=2x²−10x+7

Step 1: Subtract 2x^2-10x+7 from both sides.

0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)

−2x²+10x−7=0

For this equation: a=-2, b=10, c=-7

−2x²+10x+−7=0

Step 2: Use quadratic formula with a=-2, b=10, c=-7.

$\sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)}$

$\sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4}$

$\sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11}$