Question

Solve the following quadratic equations using the quadratic formula and select the correct solution set.

5x2+2x-4=0

Thank you!

Answer 1

x1= -(1-√(21))/5

x2= -(1-√(21))/5

Explanation:

5x²+2x-4=0

D=2^2-4*(-4)*5=4+80=84

x1,2 = (-2±√(84))/10

x1= (-2+√(84))/10 = (-2+√(4*21))/10 = (-2+2√(21))/10 = (-2(1-√(21))/10 = -(1-√(21))/5

x2=(-2-2√(21))/10 = -2(1+√(21)/10=-(1+√(21))/5

Answer: x1= -(1-√(21))/5,

x2= -(1-√(21))/5,