ax2 + bx + c = 0
x2 + 14x + 49 = 0
Figure out what two numbers can be multiplied to get the sum of a + c and can be added together to equal b.
7 * 7 = 49
7 + 7 = 14
(x + 7)(x + 7) = 0
Solve each for x:
x + 7 = 0
x = -7
x + 7 = 0
x = -7
49-apex
63
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7
x2+14x+49 = (x+7)(x+7) when factored
51.07142857142857
-x2+14x=49
x2 - 14x + 49(x - 7) (x - 7)
(x2 + 14x + 49) = (x + 7)2
49 x2 + 14x = -7 x2 + 14x + 49 = 42 (x + 7)2 = 42 x = -7 ± √42
49-apex
63
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7
x2+14x+49 = (x+7)(x+7) when factored
x2 - 14x + 49 = (x - 7)2
51.07142857142857
x=7
(x - 7)(x - 7)