Question

find the roots of 4x^2+10x+5 by quadratic equation​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(22x2 + 10x) + 5

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4x2+10x+5

The first term is, 4x2 its coefficient is 4 .

The middle term is, +10x its coefficient is 10 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 4 • 5 = 20

Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 10 .

-20 + -1 = -21

-10 + -2 = -12

-5 + -4 = -9

-4 + -5 = -9

-2 + -10 = -12

-1 + -20 = -21

1 + 20 = 21

2 + 10 = 12

4 + 5 = 9

5 + 4 = 9

10 + 2 = 12

20 + 1 = 21

Final result :

4x2 + 10x + 5

Step-by-step explanation:

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