Question

x-y=5
xy=126
Please help me find this answer.
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Answer 1

Answer:

X-y =5

y=5+X

second

xy=126

x.(5+X)=126

5x+x^2=126

x^2+5x-126=0

use D=b^2 - 4ac/2a

AND FIND X VALUE AFTER FIND X PUT THE VALUE AND GET ANSWER

Answer 2

$\large{\underline{\underline{\red{\bf{Solution}}}}}$

⠀

We have two equations,

• x - y = 5
• x = 5 + y⠀⠀⠀...[1]

⠀

and,

• xy = 126

⠀

Putting the value of x from [1] in the 2nd equation

⠀

→ (5 + y) × y = 126

→ 5y + y² = 126

→ y² + 5y - 126 = 0

⠀

Middle term splitting,

⠀

→ y² + 14y - 9y - 126 = 0

→ y(y + 14) - 9(y + 14) = 0

→ (y + 14) (y - 9) = 0

⠀

We get,

• y = -14 or y = 9

⠀

For finding the value of x,

⠀

• On putting y = -14

→ x - (-14) = 5

→ x + 14 = 5

→ x = 5 - 14

→ x = -9

⠀

• On putting y = 9

→ x - 9 = 5

→ x = 5 + 9

→ x = 14

⠀

Hence,

• x = -9 and y = -14

or,

• x = 14 and y = 9

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