What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

Question

What are the solutions to the quadratic equation 4(x + 2)2 = 36

Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form. What is the value of c in her equation?

Answer 1

the usual way to type a power is to use the ^ to show exponents,
e.g.
x^2 is "x squared"

0 = −2x^2 − 3x + 8 in standard form is
2x^2 + 3x - 8 = 0

so b^2 - 4ac = 9 - 4(2)(-8) = ......

4(x + 2)^2 = 36
divide both sides by 4
(x+2)^2 = 9
x+2 = ±√9
x = -2 ± 3
= -5 or 1

after looking at the above stuff, you should be able to answer your last question