Question

When square of a number is increased by 3, then the resulting value becomes equal to four times the original number. Find the numbers

-1,3

3,4

1,3

2,3​

Answer 1

ok

-1,3 is ans ,,

Step-by-step explanation:

heres your answer

Answer 2

Given,

When the square of a number is increased by $\[3\]$, then the resulting value becomes equal to four times the original number.

Solution,

Assume that the number is a.

Apply the given conditions.

$\[\begin{array}{l} \Rightarrow {a^2} + 3 = 4a\\ \Rightarrow {a^2} - 4a + 3 = 0\\ \Rightarrow {a^2} - 3a - a + 3 = 0\\ \Rightarrow a\left( {a - 3} \right) - 1\left( {a - 3} \right) = 0\end{array}\]$

Solve further,

$\[\begin{array}{l} \Rightarrow \left( {a - 1} \right)\left( {a - 3} \right) = 0\\ \Rightarrow a = 1,3\end{array}\]$

Hence, the correct option is $\[1\,{\rm{and}}\,3.\]$