which of the statements about the following quadratic equations is true? 6x^2-8=4x^2+7x

the discriminant is greater than zero, so there are two real roots.
the discriminant is greater than zero, so there are two complex roots.
the discriminant is less than zero, so there are two real roots.
the discriminant is less than zero, so there are two complex roots.

Question

which of the statements about the following quadratic equations is true? 6x^2-8=4x^2+7x

the discriminant is greater than zero, so there are two real roots.
the discriminant is greater than zero, so there are two complex roots. 
the discriminant is less than zero, so there are two real roots. 
the discriminant is less than zero, so there are two complex roots.

Vocaloid · Answer

first step would be to combine like terms onto one side of the equation so you have something in the form ax^2 + bx + c = 0

Then next step is to calculate the discriminant sqrt(b^2 - 4ac). either it's greater or less than zero. if it's greater than zero there are 2 real roots and if it's less than zero there are two complex roots.