a number exceeds its positive square root by 12 find the number - Maths - Squares and Square Roots

Question

a number exceeds its positive square root by 12 find the number

Krishna Singh · Accepted Answer

Let the positive number be x
according to question
√x + 12 = x
⇒√x= x - 12
squaring both sides
⇒x= x² - 24x +144
⇒x² - 25x + 144 = 0
⇒x² - 16x - 9x +144=0
⇒x(x - 16) - 9(x - 16)=0
⇒(x - 9)(x - 16)=0
so the number is 9,16
i guess this will be the solution

a number exceeds its positive square root by 12.find the number