Question

The square of a number added to the number gives 30. Which of the following is the number

(a) 6 (b) −5 (c) −6 (d) 7​

Answer 1

Answer:

-6

Step-by-step explanation:

Substitute the number by -6 i.e.(-6)*(-6)+(-6)

36+(-6)

36-6

30

Answer 2

Given : The square of a number added to the number gives 30.

To Find :  Which of the following is the number

(a) 6

(b) -5

(c) -6

(d) 7​

Solution:

Assume that Number is  N

square of a number  = N²

The square of a number added to the number gives 30.

=> N² + N = 30

=> N² + N - 30 = 0

Using Middle term split

=> N² + 6N - 5N - 30 = 0

=> N(N + 6) - 5(N + 6) = 0

=> (N - 5)(N + 6) = 0

=> N = 5  or N = - 6

From the given options -6 is the correct answer

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