Question

4x2 + 3x - 10.


tell this answer​

Answer 1

Answer:

x=5/4,x=(-2)

Step-by-step explanation:

4x²+3x-10

=4x²+(8-5)x-10

=4x²+8x-5x-10

=4x(x+2)-5(x+2)

=(4x-5)(x+2)

4x-5=0

=>4x=5

=> x=5/4

x+2=0

=>x=(-2)

Answer 2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

(22x2 - 3x) - 10 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4x2-3x-10

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

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is -10

Step-1 : Multiply the coefficient of the first term by the constant 4 • -10 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5

4x2 - 8x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (x-2)

Add up the last 2 terms, pulling out common factors :

5 • (x-2)

Step-5 : Add up the four terms of step 4 :

(4x+5) • (x-2)

Which is the desired factorization