Question

5 times a positive number is less than its square by 36

Answer 1

The quadratic equation is x²- 5x-36

the values of x are -4 and 9

Step-by-step explanation:

5 times a positive number is less than its square by 36

let the unknown number be x

according to the question

5(x) = (x)² - 36

= x²- 5x-36

the required quadratic equation is x²- 5x-36

on comparing it with the standard quadratic equation ax² + bx+ c

we get the value  of a= 1

b= -5 and c= -36

now we are solving the equation for value of x

x²- 5x-36

factorizing the equation'

x² -9x-4x-36

x(x-9) +4 (x-9)

(x+4) (x-9)

x+4= 0  =  x= -4

x-9= 0  = x= 9

hence,

The quadratic equation is x²- 5x-36

the values of x are -4 and 9

#Learn more:

Twenty one times of a positive number is less than its square by 100

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