mcpemaster1229 mcpemaster1229
  • 11-03-2020
  • Mathematics
contestada

Solve the equation.
3x^2 − 16x = x^2 − 30

A. 3,5

B. −3/2,5

C. −5,−3/2

D. −3,−5

Respuesta :

dannielle
dannielle dannielle
  • 12-03-2020

Answer:

3x^2-16x=x^2-30

3x^2-x^2-16x+30=0

2x^2-16x+30=0

2*(x^2-8x+15)=0

x^2-8x+15=0

+1                  +1

we solve it by completing the square

x^2-2*4x+16=1

(x-4)^2=1

x-4=1 or       x-4= -1

+4    +4        +4    +4

x=5    or       x= 3       the answer is A

Step-by-step explanation:

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