Solve Using the Quadratic Formula 4x^2-8=0

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Algebra

$4 x^{2} - 8 = 0$

Use the quadratic formula to find the solutions.

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

Substitute the values $a = 4$ , $b = 0$ , and $c = - 8$ into the quadratic formula and solve for $x$ .

$\frac{0 \pm \sqrt{0^{2} - 4 \cdot (4 \cdot - 8)}}{2 \cdot 4}$

Simplify.

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Simplify the numerator.

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Raising $0$ to any positive power yields $0$ .

$x = \frac{0 \pm \sqrt{0 - 4 \cdot 4 \cdot - 8}}{2 \cdot 4}$

Multiply $- 4$ by $4$ .

$x = \frac{0 \pm \sqrt{0 - 16 \cdot - 8}}{2 \cdot 4}$

Multiply $- 16$ by $- 8$ .

$x = \frac{0 \pm \sqrt{0 + 128}}{2 \cdot 4}$

Add $0$ and $128$ .

$x = \frac{0 \pm \sqrt{128}}{2 \cdot 4}$

Rewrite $128$ as $8^{2} \cdot 2$ .

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Factor $64$ out of $128$ .

$x = \frac{0 \pm \sqrt{64 (2)}}{2 \cdot 4}$

Rewrite $64$ as $8^{2}$ .

$x = \frac{0 \pm \sqrt{8^{2} \cdot 2}}{2 \cdot 4}$

Pull terms out from under the radical.

$x = \frac{0 \pm 8 \sqrt{2}}{2 \cdot 4}$

Multiply $2$ by $4$ .

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

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

$x = \pm \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \pm \sqrt{2}$

Decimal Form:

$x = 1.41421356 \dots, - 1.41421356 \dots$

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Name

Name	two hundred ninety-four million seventy-three thousand seven hundred eighty-seven

Interesting facts

294073787 has 16 divisors, whose sum is 345461760
The reverse of 294073787 is 787370492
Previous prime number is 79

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 47
Digital Root 2

Name

Name	eight hundred eighteen million three hundred sixty-seven thousand eighty-eight

Interesting facts

818367088 has 128 divisors, whose sum is 4757628960
The reverse of 818367088 is 880763818
Previous prime number is 209

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 49
Digital Root 4

Name

Name	six hundred sixty-three million three hundred nine thousand four hundred seventy-three

Interesting facts

663309473 has 4 divisors, whose sum is 664295748
The reverse of 663309473 is 374903366
Previous prime number is 673

Basic properties

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

Simplify square root of 25

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Evaluate (-625)^(1/4)

Expand using the Binomial Theorem (x-y)^2