Question

Complete the square to solve 3x^2+12x=9 A. x=3+√6 B. x=2+√7 C. x=-2+√7 D. x=-2+√13

Answer 1

Step-by-step explanation:

3 {x}^{2} + 12x - 9 = 0

$\frac{ - (12) \binom{ + }{ - } \sqrt{ {12}^{2} - 4(3)( - 9)} }{2(3)}$

Answer 2

Use the formula
(
b
2
)
2
(
b
2
)
2
in order to create a new term. Solve for
x
x
by using this term to complete the square.
Exact Form:
x
=
±
√
7
−
2
x
=
±
7
-
2
Decimal Form:
x
=
0.64575131
…
,
−
4.64575131
…