Solve the equation below for x by graphing.-3( -x^{2 }) - 6 = 3^{x} + 10x ≈ -2.50x ≈ 2.50x ≈ -0.50x ≈ -6.00

Answer: first option x ≈ - 2.5

Solution

Solving that equation by graphing means graphing both -3(-x²) - 6 and 3ˣ + 10 in the same coordinate system and then finding the intersection point. The intersection point is the solution of the equation.

You can see the graph of the two functions with the intersection point in the figure attached.

There you see the intersection point is close to - 2.5.

So, the answer is x ≈ -2.5

You can verify it by pluging x = - 2.5 into the equation.