andreasanchez48 andreasanchez48
  • 03-03-2021
  • Mathematics
contestada

Solve the quadratic equation. Simplify if possible:

-5 (x + 3) 2 = -80

Respuesta :

devishri1977
devishri1977 devishri1977
  • 03-03-2021

Answer:

Step-by-step explanation:

(x +y)² = x² + 2xy +y²

-5(x + 3)² = -80

-5(x² + 2*x*3 + 3²) = -80          

-5(x² + 6x + 9) = -80

Divide the equation by (-5)

x² + 6x +9 = -80/-5

x² + 6x + 9 = 16

x² + 6x + 9 - 16 = 0

x² + 6x  - 7 = 0

x² - x + 7x - 7 = 0

x(x - 1)  + 7(x - 1) = 0

(x - 1)(x + 7) = 0

x -1 = 0   ; x + 7 = 0

x = 1     ; x = -7

Answer Link

Otras preguntas

What responsibility did the alliance systems play in the outbreak of the war
what is: A student is raising money for cancer research. A local business agrees to donate an additional 25% of what the student raises, while a local politicia
What responsibility did the alliance systems play in the outbreak of the war
What responsibility did the alliance systems play in the outbreak of the war
The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 202 feet. Find the length of the garden.
A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how much will a $230.00 sport coat c
How to solve this problem .         0.3 [1.57 – (0.6)²]
How many squares for three traits?
How to solve this problem .         0.3 [1.57 – (0.6)²]
Explain why volcanoes are common in the Ring of Fire.