Question

what is the value of x if, 3x^2+4x-5=0​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

=

−

2

±

1

9

√

3

Step-by-step explanation:

quadratic equation in standard form:

a

x

2

+

b

x

+

c

,

where:

a

=

3

,

b

=

−

4

,

c

=

−

5

Quadratic formula

x

=

−

b

±

√

b

2

−

4

a

c

2

a

Plug in the known values.

x

=

−

(

−

4

)

±

√

(

−

4

)

2

−

4

⋅

3

⋅

−

5

2

⋅

3

Simplify.

x

=

4

±

√

76

6

Prime factorize

76

.

x

=

4

±

√

2

2

×

19

6

Apply rule:

√

a

2

=

a

x

=

4

±

2

√

19

6

Simplify.

x

=

2

±

√

19

3

Solutions for

x

.

x

=

2

+

√

19

3

,

2

−

√

19

3