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Solve each of the following equations by factoring.

0 votes
  1. 1) 3x2=2x+83x2=2x+8
  2. 2) 10z2+19z+6=0
asked Oct 15, 2018 in ALGEBRA 2 by anonymous
reshown Oct 15, 2018 by bradely

1 Answer

0 votes

1)

3x^2  =  2x + 8

3x^2 - 2x - 8  =  0

3x^2 - 6x + 4x - 8  =  0

3x(x - 2) + 4(x - 2)  =  0

(x - 2)(3x + 4)  =  0

(x - 2)  =  0        ;          (3x + 4)  =  0

x  =  2               ;          3x  =  - 4

x  =  2               ;          x  =  - 4/3

2)

10z^2 + 19z + 6  =  0

10z^2 + 15z + 4z + 6  =  0

5z(2z + 3) + 2(2z + 3)  =  0

(2z + 3)(5z + 2)  =  0

(2z + 3)  =  0          ;           (5z + 2)  =  0

2z  =  - 3                ;           5z  =  - 2

z  =  - 3/2               ;           z  =  - 2/5

Answer :

1) The Solutions are x  =  2  and   x  =  - 4/3

2) The Solutions are z  =  - 3/2  and z  =  - 2/5.

answered Oct 16, 2018 by homeworkhelp Mentor

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