Question

Write the quadratic formula used to find the roots of the quadratic equation​

Answer 1

$\huge{\underline{\underline{\mathrm{AnswEr}}}}:-$

Quadratic Formula:-

$\mathrm\; x = \frac{-b\; <u>+</u> \; \sqrt{b^2\; - 4ac}}{2a}$

Where a,b and c are the real numbers and b² - 4ac is called discriminant.

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Additional Information :-

Nature of the roots :-

Where D = b² - 4ac

• D > 0 (Two Distinct real roots)

• D = 0 (Two equal and real roots)

• D < 0 (No real roots)

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Answer 2

Quadratic formula

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others.

Given a general quadratic equation of the form

Each of these two solutions is also called a root (or zero) of the quadratic equation. Geometrically, these roots represent the x-values at which any parabola, explicitly given as y = ax2 + bx + c, crosses the x-axis.[3]

As well as being a formula that yields the zeros of any parabola, the quadratic formula can also be used to identify the axis of symmetry of the parabola,[4] and the number of real zeros the quadratic equation contains.