Math, asked by slover34, 8 months ago

(1-x)²+(15-7)²=100. slove it with clear explanation and need every single step.​

Answers

Answered by raj3294
22

Answer:

Step-by-step explanation:

(1-X)²+(15-7)²=100

EXPANDING USING THE IDENTITY

(A-B)² = A²-2AB-B²

1-2X+X²+8²=100

1-2 X+X²+64 = 100

1-2X+X²= 36

X²-2 X = 35

X²-2X-35 =0

PRODUCT = -35

SUM = -2

NUMBERS = -7 AND 5

X²-7X+5X-35 =0

X(X-7)+5(X-7) =0

(X+5)(X-7) = 0

X = -5 OR X= +7.

HOPE THIS HELPS.

Answered by Anonymous
109

Given:-

  • \tt \: {(1 - x)}^{2} + {(15 - 7)}^{2} =100

To find:-

  • x

Solution:-

  \tt \: {(1 - x)}^{2} + {(15 - 7)}^{2} =100 \\  \\  \tt \: \Rightarrow \:  {(1)}^{2}  +  {(x)}^{2}  - 2(1)(x) +  {(8)}^{2}  = 100 \\  \\ \tt \Rightarrow1 +  {x}^{2}  - 2x + 64 = 100 \\  \\ \tt \Rightarrow {x}^{2}  - 2x - 35 = 0 \\  \\ \tt \Rightarrow {x}^{2}  - (7 - 5)x - 35 = 0 \\  \\  \tt \: \Rightarrow {x}^{2}  - 7x + 5x - 35 = 0 \\   \\ \tt \Rightarrow x(x - 7) + 5(x - 7)  = 0\\  \\ \tt \Rightarrow(x + 5)(x - 7) = 0

Equating both the factors with zeros.

x + 5 = 0 \\ \Rightarrow \: x =  - 5

and

x - 7 = 0 \\ \Rightarrow \: x = 7

so values of x = 7 and -5

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