Question

Determine the number of real solutions for the equation: 6x^2+8x=7

Answer 1

Answer:

Step-by-step explanation:

You could factor this to find out how many real roots you have, but it's easier to use the rule of the discriminate.  The discriminate comes from the quadratic formula:

$b^2-4ac$

Plug in the numbers from the quadratic and see what the value of it is.  If the:

discriminate < 0, you have 2 imaginary roots

discriminate = 0, you have 1 real root, multiplicity 2 and

discriminate > 0, you have 2 real roots

Our b is 8, our a is 6 and our c is -7 (remember you have to set the polynomial equal to 0 to do this).

$8^2-4(6)(-7)=232$

Because 232 is > 0, we have 2 real roots.