Question

x2-3x-800=0 middle term

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Answer 1

Answer:

the correct answer is,the value of X=200 please mark me as brainalist.

Answer 2

Answer:

x2-5x-1800=0

Two solutions were found :

x = 45

x = -40

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 :

Trying to factor by splitting the middle term

1.1 Factoring x2-5x-1800

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -1800

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1800 = -1800

Step-2 : Find two factors of -1800 whose sum equals the coefficient of the middle term, which is -5 .

-1800 + 1 = -1799

-900 + 2 = -898

-600 + 3 = -597

-450 + 4 = -446

-360 + 5 = -355

-300 + 6 = -294

-225 + 8 = -217

-200 + 9 = -191

-180 + 10 = -170

-150 + 12 = -138

-120 + 15 = -105

-100 + 18 = -82

-90 + 20 = -70

-75 + 24 = -51

-72 + 25 = -47

-60 + 30 = -30

-50 + 36 = -14

-45 + 40 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and 40

x2 - 45x + 40x - 1800

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

x • (x-45)

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

40 • (x-45)

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

(x+40) • (x-45)

Which is the desired factorization

Equation at the end of step 1 :

(x + 40) • (x - 45) = 0

Step 2 :

Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well as

Step-by-step explanation:

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