Question

6 times a number is 16 less than the square of that number. Find the positive solution.

Answer 1

let the no. be x

6x=x²-16

x²-6x-16=0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8) (x+2)=0

x=8,-2

so,8is ur ans

Answer 2

Answer:

Let the positive number be x.

${x}^{2} - 16 = 6x \\ {x }^{2} - 6x - 16 = 0 \\ {x}^{2} - 8x + 2x - 16 = 0 \\ x(x - 8) + 2(x - 8) = 0 \\ (x - 8)(x + 2) = 0 \\ x = 8 \: and \: - 2$

Hence, the positive number is 8.

Solution is 8.

HOPE IT HELPS!