Question

Solve the system. y = x^2 - 10x + 15 and y = -10

Answer 1

x=5, y=-10

Explanation:

y = x²-10x+15 --- eqn 1

y = -10 --- eqn 2

Sub eqn 2 into eqn 1:

x²-10x+15 = -10

x²-10x+15+10 = 0

x²-10x+25 = 0

(x-5)² = 0

x-5 = 0

x = 5