What is the answer to 6sqrt(x+5)+sqrt(20-x)=7 ?

The answer to 6sqrt(x+5)+sqrt(20-x)=7 is x=-(4205+168sqrt(219))/(1369)

Solve for x: 6sqrt(x+5)+sqrt(20-x)=7

The solution is x=-(4205+168sqrt(219))/(1369)

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6 x + 5 + 20 - x = 7

x = - \frac{4205 + 168 219}{1369}

Decimal Notation

x = - 4.88763 \dots

Solution steps

6 x + 5 + 20 - x = 7

Remove square roots

1369 x^{2} + 8214 x + 12321 = 3920 - 196 x

Solve

1369 x^{2} + 8214 x + 12321 = 3920 - 196 x : x = \frac{- 4205 + 168 219}{1369}, x = - \frac{4205 + 168 219}{1369}

x = \frac{- 4205 + 168 219}{1369}, x = - \frac{4205 + 168 219}{1369}

Verify Solutions:

x = \frac{- 4205 + 168 219}{1369}

False

, x = - \frac{4205 + 168 219}{1369}

True

The solution is

x = - \frac{4205 + 168 219}{1369}

x - 10 = 9 x

3 x + π = 2 x - 4

x + x + 1 = 3

x + x + 1 = 1

x + 4 - x = 1

What is the answer to 6sqrt(x+5)+sqrt(20-x)=7 ?
The answer to 6sqrt(x+5)+sqrt(20-x)=7 is x=-(4205+168sqrt(219))/(1369)
Solve for x: 6sqrt(x+5)+sqrt(20-x)=7
The solution is x=-(4205+168sqrt(219))/(1369)