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How to fill out solve quadratic equations x25x-80

01

To solve the quadratic equation x^2 + 5x - 80 = 0, follow these steps:

02

First, rearrange the equation to put it in the standard form ax^2 + bx + c = 0. In this case, it is x^2 + 5x - 80 = 0.

03

Identify the coefficients: a = 1, b = 5, and c = -80.

04

Use the quadratic formula to find the solutions for x.

05

- The quadratic formula is x = (-b ± sqrt(b^2 - 4ac)) / (2a).

06

Substitute the values of a, b, and c into the quadratic formula.

07

- For this equation, x = (-5 ± sqrt(5^2 - 4*1*(-80))) / (2*1).

08

Simplify the equation and calculate the square root.

09

- x = (-5 ± sqrt(25 + 320)) / 2.

10

- x = (-5 ± sqrt(345)) / 2.

11

- x ≈ (-5 ± 18.57) / 2.

12

Solve for the two possible values of x.

13

- x1 ≈ (-5 + 18.57) / 2 ≈ 6.285.

14

- x2 ≈ (-5 - 18.57) / 2 ≈ -13.285.

15

So, the solutions to the quadratic equation x^2 + 5x - 80 = 0 are approximately x1 = 6.285 and x2 = -13.285.

Who needs solve quadratic equations x25x-80?

01

Quadratic equations are often encountered in algebra and mathematical problem-solving. Anyone studying or working in fields such as mathematics, physics, engineering, or finance may need to solve quadratic equations. Additionally, individuals preparing for exams or anyone interested in expanding their mathematical knowledge may also need to solve such equations.

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What is solve quadratic equations x^2+5x-80?

The quadratic equation x^2+5x-80 can be factored as (x+16)(x-5).

Who is required to file solve quadratic equations x^2+5x-80?

Individuals studying algebra or mathematics may be required to solve the quadratic equation x^2+5x-80.

How to fill out solve quadratic equations x^2+5x-80?

To solve the quadratic equation x^2+5x-80, one can use factoring, completing the square, or the quadratic formula.

What is the purpose of solve quadratic equations x^2+5x-80?

The purpose of solving the quadratic equation x^2+5x-80 is to find the values of x that satisfy the equation.

What information must be reported on solve quadratic equations x^2+5x-80?

The solutions to the quadratic equation x^2+5x-80 must be reported, which are x=-16 and x=5.

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