5x^2 + 7x = 6

Question

What is the value of the discriminant for 5x^2 + 7x = 6 ?

How many different real number solutions does the equation have?

Thanks SO MUCH for answering! :) 

Answer 1

The quadratic equation 5x²+7x-6=0 has discriminant 7²-4(5)(-6)=49+120=169, it has both its roots real.

Since we are so near the solution, the quadratic formula gives x=(-7±13)/10=-2, 6/10

N.B. 5×4+7×(-2)-6=0 as does 5×(3/5)²+7×3/5-6=5×9/25+21/5-6=0