Question

Use the quadratic formula to solve the quadratic equation 10x2+5x=5x−8
. (1 point)
Responses

25√5i
the fraction with numerator 2 square root of 5 and denominator 5 i

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

−25√5i
negative the fraction with numerator 2 square root of 5 and denominator 5 i

±2i5–√

Answer 1

10x^2 + 5x = 5x − 8
Subtract 5x: 10x^2 = −8 → x^2 = −8/10 = −4/5
x = ±√(−4/5) = ±(2i)/√5 = ±(2√5 i)/5

So the solutions are x = ±(2√5 i)/5 (equivalently ±2i/√5).