Solve Using the Quadratic Formula x^2-6x+5=0

Solve Math

Algebra

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

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.

Tap for more steps...

Simplify the numerator.

Tap for more steps...

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.

$x = 5, 1$

Do you know how to Solve Using the Quadratic Formula x^2-6x+5=0? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	two billion eighty-five million seven hundred fifty-seven thousand nine hundred fifty-four

Interesting facts

2085757954 has 8 divisors, whose sum is 3575585088
The reverse of 2085757954 is 4597575802
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 52
Digital Root 7

Name

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

Interesting facts

504942033 has 8 divisors, whose sum is 673392096
The reverse of 504942033 is 330249405
Previous prime number is 28001

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 30
Digital Root 3

Name

Name	three hundred seventy-three million seven hundred forty-three thousand eighty-six

Interesting facts

373743086 has 4 divisors, whose sum is 560614632
The reverse of 373743086 is 680347373
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 41
Digital Root 5

Factor x^2-5x+4

Solve Using the Quadratic Formula x^2+x-1=0

Solve Using the Quadratic Formula 4x^2-17x-15=0

Simplify (3x-2)(3x+2)

Simplify 2 square root of 16