Solve Using the Quadratic Formula x^2-8x+16=0

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Algebra

$x^{2} - 8 x + 16 = 0$

Use the quadratic formula to find the solutions.

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

Substitute the values $a = 1$ , $b = - 8$ , and $c = 16$ into the quadratic formula and solve for $x$ .

$\frac{8 \pm \sqrt{{(- 8)}^{2} - 4 \cdot (1 \cdot 16)}}{2 \cdot 1}$

Simplify.

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Simplify the numerator.

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Raise $- 8$ to the power of $2$ .

$x = \frac{8 \pm \sqrt{64 - 4 \cdot 1 \cdot 16}}{2 \cdot 1}$

Multiply $- 4$ by $1$ .

$x = \frac{8 \pm \sqrt{64 - 4 \cdot 16}}{2 \cdot 1}$

Multiply $- 4$ by $16$ .

$x = \frac{8 \pm \sqrt{64 - 64}}{2 \cdot 1}$

Subtract $64$ from $64$ .

$x = \frac{8 \pm \sqrt{0}}{2 \cdot 1}$

Rewrite $0$ as $0^{2}$ .

$x = \frac{8 \pm \sqrt{0^{2}}}{2 \cdot 1}$

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

$x = \frac{8 \pm 0}{2 \cdot 1}$

Multiply $2$ by $1$ .

$x = \frac{8 \pm 0}{2}$

Simplify $\frac{8 \pm 0}{2}$ .

$x = \frac{8}{2}$

Divide $8$ by $2$ .

$x = 4$

The final answer is the combination of both solutions.

$x = 4$ Double roots

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Name

Name	one billion nine hundred six million sixteen thousand two hundred eighty-four

Interesting facts

1906016284 has 8 divisors, whose sum is 4288536648
The reverse of 1906016284 is 4826106091
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 37
Digital Root 1

Name

Name	one billion six hundred twenty million four hundred forty-one thousand two

Interesting facts

1620441002 has 4 divisors, whose sum is 2430661506
The reverse of 1620441002 is 2001440261
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 20
Digital Root 2

Name

Name	one billion eight hundred ninety-seven million three hundred five thousand four hundred twenty-four

Interesting facts

1897305424 has 128 divisors, whose sum is 11033117568
The reverse of 1897305424 is 4245037981
Previous prime number is 197

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 43
Digital Root 7

Factor x^2-5x+4

Solve for x 2^x=10

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

Evaluate 20/4

Solve for d A=1/2h(c+d)