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xxMikexx [17]
3 years ago
15

Solve the equation for x by graphing. 2^x - 4 = -4^x + 4

Mathematics
2 answers:
lapo4ka [179]3 years ago
8 0
X~1.25. All you have to do is graph the function and see where the graph crosses the x-axis.
Katena32 [7]3 years ago
5 0
Draw 2 graphs on same grid. Where they intersect is the solution

y = 2^x + 4
y = -4^x - 4

Approximate answer is x = 1.25

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<u>Given</u>:

The quadratic equation is x^{2}=-5 x-3

We need to determine the solutions of the quadratic equation.

<u>Solution</u>:

Let us solve the equation to determine the value of x.

Adding both sides of the equation by 5x and 3, we get;

x^{2}+5 x+3=0

The solution of the equation can be determined using quadratic formula.

Thus, we get;

x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 1 \cdot 3}}{2 \cdot 1}

x=\frac{-5 \pm \sqrt{25-12}}{2 }

x=\frac{-5 \pm \sqrt{13}}{2 }

Thus, the two roots of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

Hence, the solutions of the equation are x=\frac{-5 + \sqrt{13}}{2 } and x=\frac{-5- \sqrt{13}}{2 }

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