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

Question

asked Apr 18, 2019 45.7k views

1 Answer

Akshat Singhal · Answer 1 · 2019-04-23T18:19:19+0000

Answer: Two distinct real roots.

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.