Question

what should be added to 5n²+6n-3 to get 3n+2​

Answer 1

Answer:

5n2+9n-1

Step-by-step explanation:

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Answer 2

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "n2" was replaced by "n^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

(3n2 - 6n) - 3 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

3n2 - 6n - 3 = 3 • (n2 - 2n - 1)

Trying to factor by splitting the middle term

3.2 Factoring n2 - 2n - 1

The first term is, n2 its coefficient is 1 .

The middle term is, -2n its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

3 • (n2 - 2n - 1) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Parabola, Finding the Vertex:

4.2 Find the Vertex of y = n2-2n-1

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).