Question

|x^2-4x+3|+|x^2+2x-15|=6|x-3|​

Answer 1

Answer:

Step-by-step explanation:

x^2-4x+3+x^2+2x-15=6(x)-6(3)

2x^2-2x-12=6x-18

2x^2-2x-6x-12=18

2x^2-8x=18+12

2x^2-8x=30

2x^2-8x-30=0

x^2-4x-15=0

b^2-4ac=16-4*1*-15

             =16+60=76

  x= -b±√b^2-4ac/2a

    = 4±√76/2

    =4±2√19/2

  x=4+2√19/2=2+√19,x=4-2√19/2=2-√19

   ∴x=2+√19,x=2-√19