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Determine whether 2 is a root of quadratic equation 2m2 – 5m = 0. - Algebra

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Question

Determine whether 2 is a root of quadratic equation 2m2 – 5m = 0.

Sum

Solution

The given equation is 2m2 – 5m = 0.

Putting m = 2 in L.H.S. of equation (i), we get

L.H.S. = 2 × (2)2 – 5 × (2)

= 2 × 4 – 10

= 8 – 10

= – 2

∴ L.H.S. ≠ R.H.S.

∴ 2 is not the root of a given equation.

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2021-2022 (March) Set 1

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