Solve the equation by graphing.
-x2 - 4x - 6 = 0
No Solution
Solve the equation by taking square roots.
2x2 - 20 = 78
7 & -7
Find the value of c that would complete the square.
x2 + 6x + c
9
Solve the equation by completing the square.
2x2 + 24x + 10 = 0
-6 pm root 31
Write the function in vertex form.
y = x2 - 12x + 36
y = (x - 6)2
Solve the equation by graphing.
x2 - 5x = 0
0, 5
Solve the equation by taking square roots.
3x2 + 16 = 4
no solution
Solve the equation by completing the square.
x2 + 4x - 21 = 0
-7 & 3
Solve the equation by completing the square.
2x2 - 8x - 14 = 0
2 pm root 11
Write the function in vertex form.
y = x2 + 8x + 15
y = (x + 4)2 - 1
Solve the equation by graphing.
x2 + 8x + 16 = 0
-4
Solve the equation by taking square roots.
(x - 7)2 = 6
7 pm root 6
Solve the equation by completing the square.
x2 - 10x = 24
-2 & 12
Solve the equation by completing the square.
4x2 + 8x - 7 = 0
-1 pm root 11 /2
Write the function in vertex form.
y = -x2 + 10x - 21
y = -(x - 5)2 + 4
Solve the equation by graphing.
x2 - 6x - 7 = 0
-1, 7
Solve the equation by taking square roots.
20 = 2(x + 5)2
-5 pm root 10
Solve the equation by completing the square.
x2 - 7x + 6 = 0
1 & 6
Solve the equation by completing the square.
7x2 + 24x - 2 = x2 - 9
-2 pm root (17/6)
Write the function in vertex form.
y = 2x2 - 12x + 19
y = 2(x - 3)2 + 1
Solve the equation by graphing.
x2 - 2 = -x
1, -2
Solve the equation by taking square roots.
11x2 + 3 = 5(4x2 - 3)
pm root 2
Solve the equation by completing the square.
x2 - 6x + 3 = 0
3 pm root 6
Solve the equation by completing the square.
x2 + 2x + 0.4 = 0.9x2 + x
-5 pm root 21
Write the function in vertex form.
y = -3x2 - 6x - 1
y = -3(x + 1)2 + 2