Question

Solve the equation${\mathbf{x}}^2\mathbf{-}\mathbf{4}\mathbf{x}\mathbf{=}\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{7}$ graphically.

Short answer

The solution of the given equation is $x=-0.464,6.464$.

Step-by-step solution

Step 1. Write the given equation.

Consider the given equation is$y=x^2-4x$ and $y=2x+7$.

Step 2. Construct the graph of equation.

The graph for the equation$y=x^2-4x$ and$y=2x+7$ is shown below.

Step 3. Description of steps.

From the graph it can be interpreted that the graph of$y=x^2-4x$ and$y=2x+7$ cuts at points$\left(-0.464,2\right)$ and $\left(6.464,15.928\right)$. Therefore$x=-0.464,6.464$ is the solution of the given equation.