| Solved by pluggable solver: SOLVE quadratic equation with variable |
| Quadratic equation For these solutions to exist, the discriminant First, we need to compute the discriminant Discriminant d=28 is greater than zero. That means that there are two solutions: Quadratic expression Again, the answer is: 0.645751311064591, -4.64575131106459. Here's your graph: |
Can someone help me solve for x please?
x² + 4x + 4 = 7
Get 0 on the right by subtracting 7 from both sides
x² + 4x - 3 = 0
Use the quadratic formula:
______
-b ± Öb²-4ac
x = —————————————
2a
where a = 1; b = 4; c = -3
_____________
-(4) ± Ö(4)²-4(1)(-3)
x = ————————————————————————
2(1)
_____
-4 ± Ö16+12
x = —————————————
2
__
-4 ± Ö28
x = ———————————
2
___
-4 ± Ö4·7
x = ———————————
2
_
-4 ± 2Ö4
x = ———————————
2
_
-4 2Ö7
x = ———— ± ——————
2 2
_
x = -2 ± Ö7
_
Using the +, x = -2 + Ö7, which
is one solution and equals about .6457513111
_
Using the -, x = -2 - Ö7, which
is the other solution and equals about -4.645751311
Edwin