Find the roots of the following quadratic equation by factorisation :
2x² + x - 6 = 0

Question

Find the roots of the following quadratic equation by factorisation : 2x^2 + x - 6 = 0

KnowledgeBoat · Accepted Answer

Solving, ⇒ 2x² + x - 6 = 0 ⇒ 2x² + 4x - 3x - 6 = 0 ⇒ 2x(x + 2) - 3(x + 2) = 0 ⇒ (2x - 3)(x + 2) = 0 ⇒ 2x - 3 = 0 or x + 2 = 0 ⇒ 2x = 3 or x = -2 ⇒ x = or x = -2. Hence, x = -2 or x = .

Mathematics

Find the roots of the following quadratic equation by factorisation :
2x² + x - 6 = 0

Quadratic Equations

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Represent the following situation in the form of quadratic equation :
A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Find the roots of the following quadratic equation by factorisation :
x² - 3x - 10 = 0

Mathematics

Find the roots of the following quadratic equation by factorisation :2x2 + x - 6 = 0

Quadratic Equations

Related Questions

Represent the following situation in the form of quadratic equation :A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Find the roots of the following quadratic equation by factorisation :x2 - 3x - 10 = 0

Find the roots of the following quadratic equation by factorisation :
2x² + x - 6 = 0

Represent the following situation in the form of quadratic equation :
A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Find the roots of the following quadratic equation by factorisation :
x² - 3x - 10 = 0