Question

How many and what type of solutions does the equation have? –4x^2 – 2 = 10x A. no real solutions B. one real solution C. two rational solutions D. two irrational solutions

Answer 1

2 real roots

Explanation:

`y = -4x^2 - 10x - 2 = 0.` Transform the equation to -->
`y = 2x^2 + 5x + 1 = 0`
`D = d^2 = b^2 - 4ac = 25 - 8 = 17` --> `d = +- sqrt17`
There are 2 real roots;
`x = -b/(2a) +- d/(2a) =`
`x = - 5/4 +- sqrt7/4`