Math, asked by shambhavi819, 11 months ago

Hey mate
Here is a question for the toppers
no spam
don't attempt if not sure
(x+1) (2×+8)=(×+7)(×+3)
Ch quadratic equation
solve fast
I will mark you brainliest ​


mayuri5720: +3.66,-3.66 is the Right answer

Answers

Answered by saniya0600
2

Step-by-step explanation:

(x+1)(2x+8)=(x+7)(x+3)

Simplifying

(x + 1)(2x + 8) = (x + 7)(x + 3)

Reorder the terms:

(1 + x)(2x + 8) = (x + 7)(x + 3)

Reorder the terms:

(1 + x)(8 + 2x) = (x + 7)(x + 3)

Multiply (1 + x) * (8 + 2x)

(1(8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3)

((8 * 1 + 2x * 1) + x(8 + 2x)) = (x + 7)(x + 3)

((8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3)

(8 + 2x + (8 * x + 2x * x)) = (x + 7)(x + 3)

(8 + 2x + (8x + 2x2)) = (x + 7)(x + 3)

Combine like terms: 2x + 8x = 10x

(8 + 10x + 2x2) = (x + 7)(x + 3)

Reorder the terms:

8 + 10x + 2x2 = (7 + x)(x + 3)

Reorder the terms:

8 + 10x + 2x2 = (7 + x)(3 + x)

Multiply (7 + x) * (3 + x)

8 + 10x + 2x2 = (7(3 + x) + x(3 + x))

8 + 10x + 2x2 = ((3 * 7 + x * 7) + x(3 + x))

8 + 10x + 2x2 = ((21 + 7x) + x(3 + x))

8 + 10x + 2x2 = (21 + 7x + (3 * x + x * x))

8 + 10x + 2x2 = (21 + 7x + (3x + x2))

Combine like terms: 7x + 3x = 10x

8 + 10x + 2x2 = (21 + 10x + x2)

Add '-10x' to each side of the equation.

8 + 10x + -10x + 2x2 = 21 + 10x + -10x + x2

Combine like terms: 10x + -10x = 0

8 + 0 + 2x2 = 21 + 10x + -10x + x2

8 + 2x2 = 21 + 10x + -10x + x2

Combine like terms: 10x + -10x = 0

8 + 2x2 = 21 + 0 + x2

8 + 2x2 = 21 + x2

Solving

8 + 2x2 = 21 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.

8 + 2x2 + -1x2 = 21 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2

8 + 1x2 = 21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0

8 + 1x2 = 21 + 0

8 + 1x2 = 21

Add '-8' to each side of the equation.

8 + -8 + 1x2 = 21 + -8

Combine like terms: 8 + -8 = 0

0 + 1x2 = 21 + -8

1x2 = 21 + -8

Combine like terms: 21 + -8 = 13

1x2 = 13

Divide each side by '1'.

x2 = 13

Simplifying

x2 = 13

Take the square root of each side:

x = {-3.605551275, 3.605551275}


saniya0600: it took a lot of effort..hope this helps
shambhavi819: root 13 =3.61 or -root 13= -3.61
shambhavi819: ans
Answered by Anonymous
1

(x+1)(2x+8) = (x+7)(x+3)

2x² + 8x + 2x + 8 = x² + 3x + 7x + 3

2x² + 10x + 8 = x² + 10x + 3

2x² - x² + 10x - 10x + 8 - 3 = 0

x² + 0 + 5 = 0

x² + 5 = 0

x² = -5

x = i²√5


shambhavi819: root 13 =3.61 or -root 13= -3.61
shambhavi819: ans
shambhavi819: thanks for efforts
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