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f(x) = x^2 + 2x - 1

g(x) = 5x + 3

Fnd the values of x for which f(x) = g (x)

Guest Mar 21, 2017
 #1
avatar+7155 
+3

f(x) = x2 + 2x - 1

g(x) = 5x + 3

Find the values of x for which

f(x) = g(x)

 

Just substitute in what f(x) and g(x) are and solve for x.

 

x2 + 2x - 1 5x + 3

x2 + 2x - 1 = 5x + 3

 

Subtract 3 from both sides.

x2 + 2x - 4 = 5x

 

Subtract 5x from both sides.

x2 - 3x - 4 = 0

 

Factor.

(x + 1)(x - 4) = 0

 

Set each factor equal to 0.

x + 1 = 0          or          x - 4 = 0

x = -1               or          x = 4

hectictar  Mar 21, 2017

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