Math, asked by ranianushka573, 4 months ago

28x+45= 98
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Answers

Answered by Pakiki
1

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

49*x^2-(45-28*x)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

72x2 - (45 - 28x) = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 49x2+28x-45

The first term is, 49x2 its coefficient is 49 .

The middle term is, +28x its coefficient is 28 .

The last term, "the constant", is -45

Step-1 : Multiply the coefficient of the first term by the constant 49 • -45 = -2205

Step-2 : Find two factors of -2205 whose sum equals the coefficient of the middle term, which is 28 .

-2205 + 1 = -2204

-735 + 3 = -732

-441 + 5 = -436

-315 + 7 = -308

-245 + 9 = -236

-147 + 15 = -132

-105 + 21 = -84

-63 + 35 = -28

-49 + 45 = -4

-45 + 49 = 4

-35 + 63 = 28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -35 and 63

49x2 - 35x + 63x - 45

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

7x • (7x-5)

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

9 • (7x-5)

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

(7x+9) • (7x-5)

Which is the desired factorization

Equation at the end of step

2

:

(7x - 5) • (7x + 9) = 0

Answered by dharanit720
0

Answer:

28x=98-45

28x=53

X=53/28 (or)

1.89285714285714

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