Answer:
x = 4.2 and -1.2
Explanation:
Given the following function
f(x) = x^2 + 13
g(x) = 3x+18
If f(x) = g(x) then;
x^2 + 13 = 3x + 18
x^2 - 3x + 13 - 18 = 0
x^2 - 3x - 5 = 0
Factorize and find x
a = 1, b = -3 and c = -5
[tex]\begin{gathered} x\text{ = }\frac{-(-3)\pm\sqrt[\square]{(-3)^2-4(1)(-5)}}{2} \\ x\text{ = }\frac{3\pm\sqrt[\square]{9+20}}{2} \\ x\text{ =}\frac{3\pm\sqrt[\square]{29}}{2} \\ x\text{ =}\frac{3+5.38}{2}\text{ or }\frac{3-5.38}{2} \\ x\text{ = 8.38/2 }or\text{ }-\frac{2.38}{2} \\ x\text{ = }4.19\text{ or }-1.19 \end{gathered}[/tex]
To the nearest tenth, x = 4.2 and -1.2
