Mathematics, 27.06.2019 06:30 Kashawilliams2142

Crate a list of steps, in order, that will solve the following equation. 2(x+3/4)^2 -5 =123

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Answer from: Apple557

The list of steps, in order, that will solve the equation is:

Addition of 5 to both sides to eliminate the value of -5Division of both sides of the equation by 2 to eliminate the coefficient of 2 from the left-hand sideTaking the square root of both sidessubtract 3/4 from each sideConvert the answer to decimal

The given expression is raised to a power of 2, so we can say that the given expression is a quadratic equation.

What is a quadratic equation?

A quadratic equation is a form of an algebraic expression in which the variable is usually raised to the power of its second degree.

From the parameters given:

$\mathbf{2(x + \dfrac{3}{4})^2 -5 = 123 }$

Addition of +5 to both sides

$\mathbf{2(x + \dfrac{3}{4})^2 -5 +5 = 123+5 }$

$\mathbf{2(x + \dfrac{3}{4})^2 = 128}$

Division of both sides by 2

$\mathbf{\dfrac{2(x + \dfrac{3}{4})^2 }{2} =\dfrac{ 128}{2}}$

$\mathbf{(x + \dfrac{3}{4})^2 = 64}$

Taking the square root of both sides

$\mathbf{\sqrt{(x + \dfrac{3}{4})^2} =\sqrt{ 64}}$

$\mathbf{(x + \dfrac{3}{4})} =\pm8}$

Subtract 3/4 from both sides

$\mathbf{(x + \dfrac{3}{4} - \dfrac{3}{4}) }\mathbf{= \pm 8-\dfrac{3}{4}}$

$\mathbf{x= \pm 8-\dfrac{3}{4}}$

$\mathbf{x= +8-\dfrac{3}{4} \ \ OR \ \ x= -8-\dfrac{3}{4}}$

$\mathbf{x=7.25 \ \ OR \ \ -8.75}$

Learn more about quadratic equations here:

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Crate a list of steps, in order, that will solve the following equation. 2(x+3/4)^2 -5 =123

Answer from: elliedeegan3910

x = -8.75; x = 7.25

Step-by-step explanation:

2(x + ¾)² - 5 = 123

Add 5 to each side: 2(x+ ¾)² = 128 Divide each side by 2: (x+ ¾)² = 64 Take the square root of each side: x + ¾ = 8 x + ¾ = -8 Subtract ¾ from each side: x = 8 - ¾ x = -8 - ¾ Convert to decimal fraction: x = 8 - 0.75 x = -8 – 0.75 Subtract: x = 7.25 x = -8.75

The graph of your equation is a parabola with x-intercepts at x = -8.75

and x = 7.25.

Answer from: Quest

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

Answer from: Quest

idk bring the function back im not smart

step-by-step explanation:

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