How do you factor x 2 - 7x plus 8?

Answer 1

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (1 plus or minus the square root of 29) divided by 2

x = 3.192582403567252
x = -2.192582403567252

Answer 2

That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (7 plus or minus the square root of 17) divided by 2.

x = 5.561552812808831

x = 1.4384471871911697

Answer 3

That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 1 plus or minus i times the square root of 6.

x = 1 + 2.449489742783178i

x = 1 - 2.449489742783178i

where i is the square root of negative 1.

Answer 4

Add 1 to both sides.

7x2 - 8x + 1 = 0 factors to (x - 1)(7x - 1)

x = 1, 1/7

Check it.

7 - 8 + 1 = 0

7/49 - 56/49 + 49/49 = 0

It checks.

Answer 5

That depends on what you want to do with them.

-7 x 8 x -1 = 56

-7 + 8 + -1 = 0

-7 - 8 - -1 = -14

There are other possibilities.

Answer 6

Multiply both sides by 7.
-35 = -19 - x
Add 19 to both sides.
-16 = -x
Multiply both sides by -1.
x = 16

Answer 7

x2 + 7x - 8; since -8 = (8)(-1) and 8 - 1 = 7

= (x + 8)(x - 1)

Answer 8

-((x + 8)(x - 1))