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Algebra 2 Solving a quadratic using Quadratic formulae: Block: Date: Previously, we learned how to find the solutions (roots/zeros/intercepts) of a quadratic equation by using factoring. Not all quadratic

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How to fill out solving a quadratic using

01

Start by identifying the coefficients of the quadratic equation. The equation should be in the standard form ax^2 + bx + c = 0, where a, b, and c are the coefficients.

02

Calculate the discriminant, which is given by the formula discriminant = b^2 - 4ac. This determines the nature of the solutions.

03

If the discriminant is positive, there are two distinct real solutions. Use the quadratic formula x = (-b ± √(b^2 - 4ac))/(2a) to find the values of x.

04

If the discriminant is zero, there is one real solution. Use the formula x = -b/(2a) to find the value of x.

05

If the discriminant is negative, there are no real solutions. In this case, the solutions are complex and can be expressed in the form x = (-b ± √(4ac - b^2)i)/(2a), where i is the imaginary unit.

06

Substitute the values of a, b, and c into the respective formulas to calculate the solutions.

Who needs solving a quadratic using?

01

Anyone studying or working in mathematics or related fields may need to solve a quadratic equation using a systematic approach.

02

Engineers, physicists, economists, and other professionals dealing with physical phenomena or mathematical models often encounter quadratic equations.

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What is solving a quadratic using?

Solving a quadratic equation involves finding the values of x that make the equation true.

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There is no form or paperwork to fill out for solving a quadratic equation.

What is the purpose of solving a quadratic using?

The purpose of solving a quadratic equation is to find the solutions or roots of the equation.

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