Question

Mathematical form of the statement: “Sum of a number and twice the square of the

same is 56” is​

Answer 1

Answer:

Let the number be x

By given condition,

x + x² = 56

x² + x -56 = 0

x² + 8x - 7x - 56 = 0

x ( x + 8) - 7 ( x + 8) = 0

( x + 8 ) ( x - 7 ) = 0

x cannot be negative therefore discarding x = -8

Therefore the number is 7.

Answer 2

Answer:

The mathematical form of the given statement  = 2x² +x - 56 = 0

Step-by-step explanation:

Required to find,

The mathematical form of the statement

“Sum of a number and twice the square of the same is 56”

Solution:

Let 'x' be the number

Square of the number x²

Twice the square of the number = 2x²

Sum of the number and twice its square = x+ 2x²

Given, Sum of the number and twice its square is 56

Then we have the expression

x+ 2x² = 56

2x² +x - 56 = 0

∴The mathematical form of the given statement  = 2x² +x - 56 = 0

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