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How to fill out solve quadratic equations t2-2t-80

01
To solve the quadratic equation t^2 - 2t - 80 = 0, follow these steps:
02
Write down the equation: t^2 - 2t - 80 = 0
03
Identify the coefficients of the quadratic equation. In this case, the coefficient of t^2 is 1, the coefficient of t is -2, and the constant term is -80.
04
Use the quadratic formula to find the values of t. The quadratic formula is t = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation.
05
Substitute the values of a, b, and c into the quadratic formula: t = (-(-2) ± √((-2)^2 - 4(1)(-80))) / (2(1))
06
Simplify the equation: t = (2 ± √(4 + 320)) / 2
07
Further simplify: t = (2 ± √324) / 2
08
Take the square root: t = (2 ± 18) / 2
09
Simplify: t = (2 + 18) / 2 or t = (2 - 18) / 2
10
Solve for t: t = 20 / 2 or t = -16 / 2
11
Final answers: t = 10 or t = -8

Who needs solve quadratic equations t2-2t-80?

01
Anyone studying algebra or mathematics needs to solve quadratic equations like t^2 - 2t - 80 = 0. This equation is a common example used to teach the concept of quadratic equations and how to solve them. It is also used in various real-life applications such as physics, engineering, and computer science. Solving quadratic equations helps in finding the roots or solutions to a problem, which is essential in many fields of study and practical problem-solving.
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Solve the quadratic equation t^2 - 2t - 80 = 0 using the quadratic formula or factoring. The solutions are t = 10 and t = -8.
This question seems to be misinterpreted as 'solve quadratic equations t2-2t-80' refers to a mathematical expression rather than a filing requirement.
To solve the quadratic equation, rewrite it in standard form and apply techniques such as factoring or using the quadratic formula: t = [-b ± √(b²-4ac)] / 2a.
The purpose is to find the values of t where the equation t^2 - 2t - 80 equals zero.
This appears to be a misunderstanding, as 'solve quadratic equations t2-2t-80' relates to solving an equation rather than reporting information.
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