Answer: [tex]x = -3[/tex]
Step-by-step explanation:
Let the number be x , that means the square of x = [tex]x^{2}[/tex].
4 is subtracted from the square of a number, the result is 5 times the number implies :
[tex]x^{2} -24=5x[/tex]
re - arranging , we have
[tex]x^{2} -5x-24 = 0[/tex]
factorizing the quadratic expression , we have :
[tex](x-8)(x+3) = 0[/tex]
either [tex]x- 8 = 0[/tex] or [tex]x + 3 = 0[/tex]
Therefore:
[tex]x = 8[/tex] or [tex]x = -3[/tex]
Therefore , the negative solution is -3
