Question

How many real number solutions does the equation have? 0=5x^2+2-12

Answer 1

Answer: Two distinct real roots.

Step-by-step explanation:

To solve this problem you must find the discriminant of the quadratic equation with the following formula:

$D=b^2-4ac$

Given the quadratic equation $0=5x^2+2x-12$, you have that:

$a=5\\b=2\\c=-12$

When you subsitute values into the formula, you obtain the following result:

$D=(2)^2-4(5)(-12)$

$D=244$

Therefore, as $D>0$ then you can conclude that the equation has two distinct real roots.