nyahmossman
nyahmossman nyahmossman
  • 03-12-2021
  • Mathematics
contestada

The square of a positive number is 24 more than 5 times the number. What is the value of the number?

Respuesta :

loneguy
loneguy loneguy
  • 03-12-2021

[tex]\text{If the number is x,}\\\\x^2 = 24 +5x \\\\\implies x^2 -5x -24 =0\\\\\implies x^2 -8x+3x -24 =0\\\\\implies x(x-8) +3(x-8) =0\\\\\implies (x-8)(x+3) =0\\\\\implies x = 8~~~~ ;[\text{x is positive} ][/tex]

Answer Link

Otras preguntas

what's the square root of 135
The molar heat of fusion of gold is 12.550 kJ mol–1. At its melting point, how much mass of melted gold must solidify to release 235.0 kJ of energy?
solve for x₁ and x₂6x₁+3x₂=606x₁-2x₂=80
if the proper dosage of a drug is 2.0mg/kg of body weight, how many milligrams (mg) of the drug would a 110 lb individual need? (5%)
what is a prefix for dote?
how do I divide a fraction to a decimal
What Does "Turning of the Tide" Mean?
Find the explicit formula that produces the given sequence. 3/2, 3/4, 3/8, 3/16,...
Solve the equation:  4 1/5 + b = 9 3/5
what's the square root of 135