Question

Can you help me find the discriminant of this quadratic question aswell as the number and type of solutions?Problem: 2x^2+2=-5x

Answer 1

Given the quadratic equation:

$2x²+2=-5x$

we can write it like this:

$2x²+5x+2=0$

the discriminant is the expression b²-4ac. In this case, a = 2, b = 5 and c = 2, then, the discriminant is:

$b²-4ac=(5)²-4(2)(2)=25-16=9$

notice that the discriminant is 9 > 0, therefore, the quadratic function has two real solutions