ConceptQuadratic Equations

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#### Question

Verify whether 1 is the root of the quadratic equation :

`x^2+3x-4=0`

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If α + β = 5 and α^{3} +β^{3} = 35, find the quadratic equation whose roots are α and β.

Check whether the following is the quadratic equations:

x^{2} - 2x = (-2)(3 - x)

Check whether the following is the quadratic equations:

x^{3} - 4x^{2} - x + 1 = (x - 2)^{3}

Represent the following situations in the form of quadratic equations.

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 value of a, b, c in the following quadratic equation :

2x^{2} ‒ x ‒ 3 = 0

Solution for concept: Quadratic Equations. For the course 9th - 10th SSC (English Medium)