Solve Using the Quadratic Formula x^2+5=2x

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$x^{2} + 5 = 2 x$

Subtract $2 x$ from both sides of the equation.

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

Use the quadratic formula to find the solutions.

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

Substitute the values $a = 1$ , $b = - 2$ , and $c = 5$ into the quadratic formula and solve for $x$ .

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

Simplify.

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Simplify the numerator.

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

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

Multiply $- 4$ by $1$ .

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

Multiply $- 4$ by $5$ .

$x = \frac{2 \pm \sqrt{4 - 20}}{2 \cdot 1}$

Subtract $20$ from $4$ .

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

Rewrite $- 16$ as $- 1 (16)$ .

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

Rewrite $\sqrt{- 1 (16)}$ as $\sqrt{- 1} \cdot \sqrt{16}$ .

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

Rewrite $\sqrt{- 1}$ as $i$ .

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

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

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

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

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

Move $4$ to the left of $i$ .

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

Multiply $2$ by $1$ .

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

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

$x = 1 \pm 2 i$

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Name

Name	nine hundred fifty-four million seven hundred seventy-eight thousand six hundred two

Interesting facts

954778602 has 8 divisors, whose sum is 1909557216
The reverse of 954778602 is 206877459
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 48
Digital Root 3

Name

Name	nine hundred sixteen million one hundred twenty-eight thousand four hundred forty-two

Interesting facts

916128442 has 8 divisors, whose sum is 1389633300
The reverse of 916128442 is 244821619
Previous prime number is 89

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 37
Digital Root 1

Name

Name	five hundred twenty-eight million forty-eight thousand seven hundred seventy-four

Interesting facts

528048774 has 64 divisors, whose sum is 1291610880
The reverse of 528048774 is 477840825
Previous prime number is 113

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 45
Digital Root 9

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