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Minchanka [31]
3 years ago
15

A system of equations is given below. For what value(s) of x is f(x)=g(x) ?

Mathematics
1 answer:
NARA [144]3 years ago
3 0

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

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