Solve 3x2 18x 15 = 0 by completing the square.

a. 3 (x 3) 2 = 6; x = - 3 square root 2, x = - 3 - square root 2

b. 3 (x 9) 2 = 12; x = - 11, x = - 7

c. 3 (x 3) 2 = 12; x = - 5, x = - 1

d. 3 (x 9) 2 = 228; x = - 9 square root 76, x = - 9 - square root 76

Question

Mathematics

Miya Mckinney

20 July, 11:01

Solve 3x2 18x 15 = 0 by completing the square.

a. 3 (x 3) 2 = 6; x = - 3 square root 2, x = - 3 - square root 2

b. 3 (x 9) 2 = 12; x = - 11, x = - 7

c. 3 (x 3) 2 = 12; x = - 5, x = - 1

d. 3 (x 9) 2 = 228; x = - 9 square root 76, x = - 9 - square root 76

+4

Answers (1)

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River Cruz · Answer 1

3 (x^2 + 6x + 5) = 0

3 (x^2 + 6x + 9 + 5 - 9) = 0

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

3 (x + 3) ^2 - 12 = 0

3 (x + 3) ^2 = 12

(x + 3) ^2 = 4

x + 3 = sqrt (4)

x = - 3 + or - 2

x = - 3 + 2 or - 3 - 2

x = - 1 or - 5

The correct answer option is option c.

Solve 3x2 18x 15 = 0 by completing the square.a. 3 (x 3) 2 = 6; x = - 3 square root 2, x = - 3 - square root 2b. 3 (x 9) 2 = 12; x = - 11, x = - 7c. 3 (x 3) 2 = 12; x = - 5, x = - 1d. 3 (x 9) 2 = 228; x = - 9 square root 76, x = - 9 - square root 76

Solve 3x2 18x 15 = 0 by completing the square.

a. 3 (x 3) 2 = 6; x = - 3 square root 2, x = - 3 - square root 2

b. 3 (x 9) 2 = 12; x = - 11, x = - 7

c. 3 (x 3) 2 = 12; x = - 5, x = - 1

d. 3 (x 9) 2 = 228; x = - 9 square root 76, x = - 9 - square root 76