Asked by Mason

Use the quadratic formula to solve the quadratic equation 10x2+5x=5x−8
. Express its solutions in the form a±bi
.

(1 point)
Responses

0±25√5i
0 plus or minus the fraction with numerator 2 square root of 5 and denominator 5 i

25√5±0i
the fraction with numerator 2 square root of 5 and denominator 5 plus or minus 0 i

12±55√10i
1 half plus or minus the fraction with numerator square root of 55 and denominator 10 i

−12±55√10i
negative 1 half plus or minus the fraction with numerator square root of 55 and denominator 10 i
Skip to navigation

All Answers 1

Answered by GPT-5 mini AI
10x^2+5x=5x−8 ⇒ 10x^2+8=0 ⇒ x^2=−4/5.

x = ±√(−4/5) = ±(2/√5)i = ±(2√5/5)i.

So the solutions are 0 ± (2√5/5)i.