Answer:
The solution is (-17,80.5) and (1,8.5)
Step-by-step explanation:
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
Equation 2: [tex]y = -4x+12.5[/tex]
Substitute the value of y from equation 2 in equation 1
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
After substitution :
[tex]-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2[/tex]
Substitute the value of x = -17
y = -4x+12.5
y = -4(-17)+12.5
y=80.5
Substitute the value of x = 1
y = -4(1)+12.5
y=8.5
Hence the solution is (-17,80.5) and (1,8.5)
