Question

How many solutions are there for the equation? x^2 + 9x = -7

2
1
0

Answer 1

Since given is a quadratic equation, hence it will have two solutions

Answer 2

We can figure that out by using the discriminant...

also known as \(\large b^2 - 4ac\) from the quadratic equation

if the answer is > 0 we have 2 real solutions
if the answer is = 0 we have 1 real solution

So take your equation...x^2 + 9x + 7

a = 1
b = 9
c = 7

(those are just the coefficients of the equation......

and plug those in and see what you get

Answer 3

So we have

\[\large 9^2 - 4(1)(7)\]
\[\large 81 - 28\]
\[\large 53\]

Since that is > 0 we have 2 real solutions :)