Log in to add a comment

## Answers

⇒ x²-6x-5x+30 = 5/24

x²-10x+25-(x-5) = 5/24

⇒ (x-5)²-(x-5)-(5/24)² = 0

⇒ y²-y-(5/24)² = 0

⇒ y²-25y/24+y/24-5²/24² = 0

⇒ y(y-25/24) 1/24(y-25/24) = 0

⇒ (y-25/24)(y+1/24) = 0

⇒ y-25/24 = 0 , then y = 25/24

therefore, x-5 = 25/24 ,⇒ x = 25/24+5 = 145/24

And y+1/24 = 0, then y = -1/24

therefore, x-5 = -1/24 , ⇒ x = 5-1/24 = 119/24

the values of x are 145/24 and 119/24

The Brainliest Answer!

### This Is a Certified Answer

Take (x-6) = t

then (x-5) = (t+1)

(x-5)+(x-6) = 25/576

⇒(t+1)t = 25/576

⇒t² + t - = 0

t = and

or t = and

But t = (x-6)

⇒x-6 = 1/24

⇒x = 6 + 1/24

⇒x = (144+1)/24

⇒

⇒x-6 = -25/24

⇒x = 6 -25/24

⇒x = (144-25)/24

⇒

then (x-5) = (t+1)

(x-5)+(x-6) = 25/576

⇒(t+1)t = 25/576

⇒t² + t - = 0

t = and

or t = and

But t = (x-6)

__case: 1__

t = 1/24⇒x-6 = 1/24

⇒x = 6 + 1/24

⇒x = (144+1)/24

⇒

**x = 145/24**__case: 2__

t = -25/24⇒x-6 = -25/24

⇒x = 6 -25/24

⇒x = (144-25)/24

⇒

**x = 119/24**