Question

HannahC234
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How many real number solutions does the equation have?

0=5x^2+2x-12
A. One solution
B. Two solutions
C. infinitely many solutions
D. No solutions

Answer 1

If the discriminant is positive--if b 2 -4ac > 0 --then the quadratic equation has two solutions.
If the discriminant is zero--if b 2 - 4ac = 0 --then the quadratic equation has one solution.
If the discriminant is negative--if b 2 -4ac < 0 --then the quadratic equation has no solutions.


Example: How many solutions does the quadratic equation 2x 2 + 5x + 2 have?

a = 2 , b = 5 , and c = 2 .
b 2 -4ac = 52 -4(2)(2) = 25 - 16 = 9 > 0 .

Thus, the quadratic equation has 2 solutions.

Answer 2

please let me know if you are still not able to solve

Answer 3

As you can see in the graph the graph intersects the x-axis at 2 points thus it has 2 solutions