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Solve using the quadratic formula:
x^2 – 5x – 1 = -7

2007-05-14 14:44:12 · 7 answers · asked by swtsabre 1 in Science & Mathematics Mathematics

7 answers

First, move the constant to the other side so you have an "= 0" equation:

x^2 - 5x - 1 = -7
x^2 - 5x - 1 + 7 = -7 + 7
x^2 - 5x + 6 = 0

Now you can use the quadratic formula (where a=1, b=-5, and c=6):

x = ( -b +/- sqrt(b^2 - 4ac) ) / 2a
x = ( -(-5) +/- sqrt((-5)^2 - 4*1*6) ) / 2*1
x = ( 5 +/- sqrt(25 - 24) ) / 2
x = ( 5 +/- sqrt(1) ) / 2
x = (5 +/- 1) / 2

x = (5+1)/2 = 6/2 = 3
x = (5-1)/2 = 4/2 = 2

So your answers are x=2, and x=3.

2007-05-14 14:47:41 · answer #1 · answered by McFate 7 · 1 0

Just so you know it can be solved without quadratic formula:

x^2 -5x +6 = 0
(x-3)(x-2) = 0
x = 3 and 2

2007-05-14 21:48:39 · answer #2 · answered by nimble_rabit 1 · 1 0

You want everything on one side of the equation, so begin by adding 7 to both sidees.
x^2 - 5x + 6 = 0
Now remember that a is the coefficient of x^2 (1 in this case), b is the coefficient of x (-5 in this case), and c is the constant (6 in this case). It is hard to write the formula here, but ...
{-(-5) +/- SQRT[(-5)^2 - 4(1)(6)]} / [2(1)]
= {5 +/- SQRT(25 - 24)} / 2
= [5 +/- SQRT(1)] / 2
= (5 +/- 1) / 2
The "+/-" is telling us how to get two answers from the equation. One answer is
(5 + 1) / 2 = 3
The other answer is
(5 - 1) / 2 = 2

2007-05-14 21:53:24 · answer #3 · answered by tdw 4 · 0 0

x² – 5x – 1 = -7

Add 7 to both sides

x² – 5x + 6 = 0

ax² + bx + c = 0
x = (-b +- √(b² - 4ac))/2a

x = (5 +- √(25 - 24))/2

x = (5 +- √(1))/2

x = (5 +- 1)/2

Therefore

x = 2, x = 3

Solving for x in this particular case, factoring might have been the easier way.
.

2007-05-14 21:53:58 · answer #4 · answered by Robert L 7 · 0 0

x2 - 5x - 1 = -7
x2 - 5x + 6 = 0

(x-2)(x-3)=0
x=2, x=3


x=2, and x=3, im a honors math student

2007-05-14 21:54:48 · answer #5 · answered by just tht kid over there 3 · 0 0

X^2 - 5X -1 = -7
X^2 - 5X + 6 = 0
(X-2) (X-3) = 0
X = 2, 3

2007-05-14 21:52:33 · answer #6 · answered by majormomma 6 · 0 0

first 2 answers are right x=2 or x=3,first answer should be the best answr i gave him a thumb up,

2007-05-14 21:53:02 · answer #7 · answered by Anonymous · 0 0

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