Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square

Solution of a Quadratic Equation by Completing the Square

Author:Embibe Experts

10th Goa Board

IMPORTANT

Solution of a Quadratic Equation by Completing the Square: Overview

In this topic, we will learn yet another method of solving quadratic equations, known as the ‘Method of completing the square’. This is explained with the help of examples.

Important Questions on Solution of a Quadratic Equation by Completing the Square

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IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 1

Solve the equation $x^{2} - 12 x + 27 = 0$ by using formula.

MEDIUM

IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 2

Solve $2 x^{2} - 5 x + 3 = 0$ by using the formula.

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IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 3

Solve the quadratic equation $- 2 z^{2} + 6 z = - 95$ giving your answers in radical form.

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IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 4

Solve the quadratic equation $x^{2} + 5 x = 1$ giving your answers in radical form.

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IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 5

Solve the quadratic equation $x^{2} = x + 5$ giving your answers in radical form.

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IMPORTANT

Mathematics Crash Course (Based on Revised Syllabus-2023)>Quadratic Equations>Solution of a Quadratic Equation by Completing the Square> Q 6

Solve $x^{2} + 7 x = 7$ and give your answer correct to two decimal places.