Question

the square of a number equals five times that number. find the number
a. 0 or 3
b. 0 or 7
c. 0 or 1
d. 0 or 5
explain!!​

Answer 1

Answer

D. 0 or 5

Step-by-step explanation:

Squaring a number equals 5 times that number.

The phrase a number means an arbitrary variable, let's call it x.

Squaring this number:

x^2

5 times this number means we multiply by 5:

5x

The phrase equals means we set both expressions equal to each other:

x^2 = 5x <-- This is our algebraic expression

If you want to solve for x, then we subtract 5x from each side:

x^2 - 5x = 5x - 5x

Cancel the 5x on the right side, leaving us with 0:

x^2 - 5x = 0

Factor out x:

x(x - 5)

So we get x = 0 or x = 5

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The square of a number equals five times that number. find the number

a. 0 or 3

b. 0 or 7

c. 0 or 1

d. 0 or 5

EVALUATION

Let the required number = x

Now it is given that the square of a number equals five times that number.

Squre of the number = x²

Five times the number = 5x

So by the given condition

$\displaystyle \sf{ \implies {x}^{2} = 5x}$

$\displaystyle \sf{ \implies {x}^{2} - 5x = 0}$

$\displaystyle \sf{ \implies x(x - 5) = 0}$

$\displaystyle \sf{ \implies x = 0 \: , \: 5}$

FINAL ANSWER

Hence the correct option is d. 0 or 5

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