hinaharoon194 hinaharoon194
  • 01-12-2020
  • Mathematics
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The sum of a whole number and twice the square of the number is 10. Find the number

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rherron20
rherron20 rherron20
  • 01-12-2020

Answer:

Hey there !

Solution:

Let the number be x

=> x + 2x² = 10

=> 2x² + x - 10 = 0

Factorising the quadratic equation we get,

=> 2x² + 5x - 4x - 10 = 0

=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0

=> ( x - 2 ) ( 2x + 5 ) = 0

=> x = 2, -5/2

Since x is a whole number, -5 / 2 wont be applicable.

Hence x = 2.

Hence the number is 2.

Hope my answer helped !

Step-by-step explanation:

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