Q5. - Algebra 1

Question

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Solve the quadratic equation below by graphing.

$x^2-2x-15=0$

A $-1,4$

B $-3,5$

C $3,-5$ 

D $\varphi$

Step-by-Step Solution

Answer

The solution of the given quadratic equation $x^2-2x-15=0$ are $\mathbf{-}\mathbf{3}$ and 5. Therefore, option B is correct.

Step 1. Draw the graph of the quadratic function y = x 2 − 2 x − 15 .

The graph of the quadratic function $y=x^2-2x-15$ is:

Step 2. Determine the solution of the given quadratic equation x 2 − 2 x − 15 = 0 .

From the graph of the quadratic function $y=x^2-2x-15$, it can be noticed that the graph of the quadratic function $y=x^2-2x-15$ is intersecting the $x$-axis at $(-3,0)$ and $\left(5,0\right)$.

That implies the solution of the quadratic equation $x^2-2x-15=0$ are $-3$ and 5.

Therefore, option B is correct.