Question

How many solutions are there to the equation x2 + 7x – 6 = 0?

Answer 1

The graph of the equation intersects the x-axis at two points. Therefore, it has two solutions.

Explanation:

Answer 2

two real roots

Explanation:

x^2 + 7x – 6 = 0

We can use the discriminant

This is in the form ax^2 +bx+c=0

b^2 -4ac

If b^2 -4ac> 0 there are 2 real roots

If b^2 -4ac = 0 there is one real root

If b^2 -4ac <0 there are two complex roots

7^2 -4(1)*(-6)

49 +24

73

Since 73 > 0 there are two real roots