Question

Solve 5x^2 – 4x + 15/2 = 0 by formula​

Answer 1

Step-by-step explanation:

-5x2 - 4x - 15 = -1 • (5x2 + 4x + 15)

Trying to factor by splitting the middle term

3.2 Factoring 5x2 + 4x + 15

The first term is, 5x2 its coefficient is 5 .

The middle term is, +4x its coefficient is 4 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 5 • 15 = 75

Step-2 : Find two factors of 75 whose sum equals the coefficient of the middle term, which is 4 .

-75 + -1 = -76

-25 + -3 = -28

-15 + -5 = -20

-5 + -15 = -20

-3 + -25 = -28

-1 + -75 = -76

1 + 75 = 76

3 + 25 = 28

5 + 15 = 20

15 + 5 = 20

25 + 3 = 28

75 + 1 = 76