Solve Using the Quadratic Formula x^2-6x=-5

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Algebra

$x^{2} - 6 x = - 5$

Add $5$ to both sides of the equation.

$x^{2} - 6 x + 5 = 0$

Use the quadratic formula to find the solutions.

$\frac{- b \pm \sqrt{b^{2} - 4 (a c)}}{2 a}$

Substitute the values $a = 1$ , $b = - 6$ , and $c = 5$ into the quadratic formula and solve for $x$ .

$\frac{6 \pm \sqrt{{(- 6)}^{2} - 4 \cdot (1 \cdot 5)}}{2 \cdot 1}$

Simplify.

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Simplify the numerator.

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Raise $- 6$ to the power of $2$ .

$x = \frac{6 \pm \sqrt{36 - 4 \cdot 1 \cdot 5}}{2 \cdot 1}$

Multiply $- 4$ by $1$ .

$x = \frac{6 \pm \sqrt{36 - 4 \cdot 5}}{2 \cdot 1}$

Multiply $- 4$ by $5$ .

$x = \frac{6 \pm \sqrt{36 - 20}}{2 \cdot 1}$

Subtract $20$ from $36$ .

$x = \frac{6 \pm \sqrt{16}}{2 \cdot 1}$

Rewrite $16$ as $4^{2}$ .

$x = \frac{6 \pm \sqrt{4^{2}}}{2 \cdot 1}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \frac{6 \pm 4}{2 \cdot 1}$

Multiply $2$ by $1$ .

$x = \frac{6 \pm 4}{2}$

Simplify $\frac{6 \pm 4}{2}$ .

$x = 3 \pm 2$

The final answer is the combination of both solutions.

$x = 5, 1$

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Name

Name	nine hundred forty-seven million two hundred ninety-two thousand six hundred

Interesting facts

947292600 has 64 divisors, whose sum is 4092306624
The reverse of 947292600 is 006292749
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 39
Digital Root 3

Name

Name	two hundred twenty-three million four hundred forty-four thousand five hundred thirty

Interesting facts

223444530 has 16 divisors, whose sum is 446889240
The reverse of 223444530 is 035444322
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 27
Digital Root 9

Name

Name	sixteen million nine hundred four thousand seven hundred fifty-six

Interesting facts

16904756 has 64 divisors, whose sum is 44435520
The reverse of 16904756 is 65740961
Previous prime number is 19

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 38
Digital Root 2

Evaluate 7/4

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Factor y^2+7y-18