Consider the quadratic equation .2𝑥2+14𝑥+2=0 a) Solve the equation using the quadratic formula.

Question

b) Factor out the GCF of the left side of the equation and then divide both sides by that GCF. Solve the resulting equation. You should get the same solutions as you did in part a.

Answer 1

Part A solve the equation using the quadratic formula

.2x^2+14x+10=0

x₁=-35+9sqrt(15) and x₂ =-35-9sqrt(15)

Part B Factor out the GCF of the left side of the equation and then divide both sides by that GCF

.2(x^2+70x+10)=0

x^2+70x+10=0

x₁=-35+9sqrt(15) and x₂ =-35-9sqrt(15)