Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the square of a number increased by 5 times the number is equal to 176. find the number. the number is

Answer 1

X - the number

$x^2+5x=176 \\ x^2+5x-176=0 \\ x^2-11x+16x-176=0 \\ x(x-11)+16(x-11)=0 \\ (x+16)(x-11)=0 \\ x+16=0 \ \lor \ x-11=0 \\ x=-16 \ \lor \ x=11$

The number is -16 or 11.