serinasantiago
serinasantiago serinasantiago
  • 09-06-2020
  • Mathematics
contestada

using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?

Respuesta :

Hrishii
Hrishii Hrishii
  • 09-06-2020

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]

Answer Link

Otras preguntas

Is 9/10 greater than 7/10
write the first six nonzero multiples 3
Why doesnt Orgo eat Cabbage, Corn, Chicken, Clams, Cake, or Celery?
What is 3(b+4)-2 for an equivalent expression
Combine like terms.9 + 18s – 7s a. 20s b. 9 + 11s c. 9 – 11s d. 20
Layla collects postcard. she has 7 postcards from europe .her postcards from Europe are one third of her total collections. how many postcards in all does Lay
What is 3(b+4)-2 for an equivalent expression
If 3 notebooks cost $3.51, how much would 7 notebooks cost?
How do u say can u leave me alone in Spanish
Which was not a progressive movement reform? a. direct election of U.S. Senators b. measures for recall elections c. hiring professional city managers d. cr