Answer:
x = -3 +- sqrt( 13)
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2
Step-by-step explanation:
f(x)=x^2+13 g(x)=3x+14
f(x)=g(x)
x^2+13 = 3x+14
Subtract 3x from each side
x^2 -3x+13 = 3x-3x+14
x^2 -3x+13 = 14
Subtract 14 from each side
x^2 -3x+13-14 = 14-14
x^2 -3x-1 =0
Using the quadratic formula
a=1 b=-3 c=-1
-3 +- sqrt( (-3) ^2 - 4 (1) ( (-1))
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2(1)
-3 +- sqrt( 13)
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2
