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3 years ago

Use the square root method to find the solutions to the quadratic equation 22

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

$x = 2\sqrt{2}, -2\sqrt{2}$

Step-by-step explanation:

Given

$x^2 - 8 = 0$

Required

Solve

We have:

$x^2 - 8 = 0$

Add 8 to both sides

$x^2 = 8$

Take square roots of both sides

$x = \±\sqrt{8}$

Expand

$x = \±\sqrt{4*2}$

This gives:

$x = \±2\sqrt{2}$

Split

$x = 2\sqrt{2}, -2\sqrt{2}$

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If f(x) = 11/3x + 8

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Answer:

Step-by-step explanation:

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2 years ago

What is 2 divided by 1,1132?

telo118 [61]

Answer: 1/5566

Step-by-step explanation: Try division or simplifying fractions concepts to solve this.

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3 years ago

What is 5x^2-7x-3=8 by solving using a graph???

Alinara [238K]

Hello!

Simplifying
5x2 + -7x + -3 = 8

Reorder the terms:
-3 + -7x + 5x2 = 8

Solving
-3 + -7x + 5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + -7x + 5x2 = 8 + -8

Combine like terms: -3 + -8 = -11
-11 + -7x + 5x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-11 + -7x + 5x2 = 0

Begin completing the square. Divide all terms by
5 the coefficient of the squared term:

Divide each side by '5'.
-2.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '2.2' to each side of the equation.
-2.2 + -1.4x + 2.2 + x2 = 0 + 2.2

Reorder the terms:
-2.2 + 2.2 + -1.4x + x2 = 0 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + -1.4x + x2 = 0 + 2.2
-1.4x + x2 = 0 + 2.2

Combine like terms: 0 + 2.2 = 2.2
-1.4x + x2 = 2.2

The x term is -1.4x. Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = 2.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = 2.2 + 0.49

Combine like terms: 2.2 + 0.49 = 2.69
0.49 + -1.4x + x2 = 2.69

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = 2.69

Calculate the square root of the right side: 1.640121947

Break this problem into two subproblems by setting
(x + -0.7) equal to 1.640121947 and -1.640121947.

Subproblem 1
x + -0.7 = 1.640121947

Simplifying
x + -0.7 = 1.640121947

Reorder the terms:
-0.7 + x = 1.640121947

Solving
-0.7 + x = 1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 1.640121947 + 0.7
x = 1.640121947 + 0.7

Combine like terms: 1.640121947 + 0.7 = 2.340121947
x = 2.340121947

Simplifying
x = 2.340121947

Subproblem 2
x + -0.7 = -1.640121947

Simplifying
x + -0.7 = -1.640121947

Reorder the terms:
-0.7 + x = -1.640121947

Solving
-0.7 + x = -1.640121947

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = -1.640121947 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = -1.640121947 + 0.7
x = -1.640121947 + 0.7

Combine like terms: -1.640121947 + 0.7 = -0.940121947
x = -0.940121947

Simplifying
x = -0.940121947

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.340121947, -0.940121947}

3 0

3 years ago

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Alexus [3.1K]

Answer:

I'm pretty sure it is 21

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3 years ago

I need help please!!!

kherson [118]

Answer:

Step-by-step explanation:

1. p║ q

50+130 = 180

If the same side interior angles are supplementary angles then the lines are parallel.

2. p║ q

70 = 70

If the corresponding angles are congruent the lines are parallels.

4. p║ q

x = x

If alternating exterior angles are congruent then the lines are parallel.

5. we do not know if p is parallel with q

We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.

7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.

3x= 45 , divide both sides by 3

x= 15

For x = 15 the p║ q

8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.

2x+10 = 120, subtract 10 from both sides

2x = 110, divide both sides by 2

x = 55

For x = 55 the p║ q

8 0

3 years ago