strawberrykid2004
strawberrykid2004 strawberrykid2004
  • 25-10-2020
  • Mathematics
contestada

Write the equation: x^2+24x+60=0 in the form of (x+p)^2=q

Respuesta :

LammettHash
LammettHash LammettHash
  • 25-10-2020

If you expand the "target" equation, then you get

(x + p)² = q   →   x² + 2px + p² = q   →   x² + 2px + p² - q = 0

We have to have

2p = 24   →   p = 12

p² - q = 60   →   q = 12² - 60 = 84

and so

x² + 24x + 60 = 0   ↔  (x + 12)² = 84

Answer Link

Otras preguntas

What is 15/100 in simplest form
what are some adjectives for describing a tent
Find A intersection B. A: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} B: {-2, -1, 1, 4, 7, 11} Multiply choice: A. {-2,-1,1,2,3,4,5,67,8,9,10,11} B. {1,4,7,11} C. {
The Cuban Revolution resulted in A) increased trade with the United States. B) a Cold War ally with the United States. C) a government that soon adopted com
What is the Square root of 69?
7) A 3-gram gold ring occupies a volume of 0.341 cubic centimetres (cc). Find the mass density of gold, expressed as the unit rate of mass, in grams, to volume,
What do you think your weight would be if you were floating in space a long way from any planets? Explain your answer.
I need to know the steps to do two step equations
How is the entire noun clause used in the sentence? That these little creatures survive in these small pools of water is amazing. A. Subject B. Object of Prepos
1/4x+3/4y=1 graph linear equation