Question

The difference of the square of a number and 5 is equal to 4 times that number. Find the negative solution.

Answer 1

Answer:

$x=-1 or x=5$

Step-by-step explanation:

let the number be 'x'.

According to the statement given above:

$x^2-5=4x$

or

$x^2-4x-5=0$

Factorizing the quadratic equation for 'x'

$x^2+x-5x-5=0$

Taking common from the equation:

$x(x+1)-5(x+1)=0\\(x+1)(x-5)=0\\(x+1)=0, (x-5)=0\\x=-1,x=5$

The solution of the equation is $x=-1 or x=5$

Answer 2

Answer:

its -1 because i know it

Step-by-step explanation: