228k views
3 votes
Write a quadratic equation in the form of ax²+bx+c=0 with given roots: 10 and -7

User Akeim
by
4.4k points

1 Answer

3 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

roots:

x1 = 10 ===> ( x - 10)

x2 = - 7 ===> (x + 7)

Step 02:

By multiplying the roots we can obtain the quadratic equation.

(x - 10) * (x + 7) = 0

x² + 7x - 10x - 70 = 0

x² - 3x - 70 = 0

The answer is:

x² - 3x - 70 = 0

User Ldruskis
by
4.1k points