Question

Solve the system y=2x^2 + 5x+9. Y=4x+5

Answer 1

The solution to the given system of equation is
`(-1\pm√(-31))/(2)`

Given the system of equations

y=2x^2 + 5x+9

y =4x+5

Equating both equations, we will have:

2x^2 + 5x+9 = 4x + 5

2x^2 + 5x+9 - 4x - 5 = 0

2x^2 + x + 4 = 0

Factorize using the general formula

`x=(-1\pm√(1^2-4(2)(4)) )/(2(1)) \\x=(-1\pm√(1-32)) )/(2) \\x=(-1\pm√(-31) )/(2)`

Hence the solution to the given system of equation is
`(-1\pm√(-31))/(2)`