Question

Solve the equation 3x2+28x+49=0 by factoring.

Answer 1

Answer:

=

−

7

3

=

−

7

Step-by-step explanation:

=

−

±

2

−

4

√

2

x={b}}^{2}-4{a}}{2{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

3

2

+

2

8

+

4

9

=

0

3x^{2}+28x+49=0

3x2+28x+49=0

=

3

a={3}}

a=3

=

2

8

b={28}}

b=28

=

4

9

c={129}{49}}

c=49

=

−

2

8

±

2

8

2

−

4

⋅

3

⋅

4

9

√

2

⋅

3

=

−

2

8

±

1

4 over

6

=

−

2

8

+

1

4

6

x={-28+14}{6}

x=6−28+14​

=

−

2

8

−

1

4

=

−

7

3

x=-{7}{3}

x=−37​

=

−

7

=

−

7

3

=

−

7