What is the answer to sqrt(2x+3)+sqrt(4-x)=4 ?

The answer to sqrt(2x+3)+sqrt(4-x)=4 is x=3,x= 11/9

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sqrt(2x+3)+sqrt(4-x)=4

2 x + 3 + 4 - x = 4

x = 3, x = \frac{11}{9}

Decimal Notation

x = 3, x = 1.22222 \dots

Solution steps

2 x + 3 + 4 - x = 4

Remove square roots

9 x^{2} - 102 x + 289 = 256 - 64 x

Solve

9 x^{2} - 102 x + 289 = 256 - 64 x : x = 3, x = \frac{11}{9}

x = 3, x = \frac{11}{9}

Verify Solutions:

x = 3

True

, x = \frac{11}{9}

True

The solutions are

x = 3, x = \frac{11}{9}

z - 8 = 3 z - 5

2 + x = 0

p - 4 p = 21

y, x = 36 - y^{2}

r, c = 3 r

What is the answer to sqrt(2x+3)+sqrt(4-x)=4 ?
The answer to sqrt(2x+3)+sqrt(4-x)=4 is x=3,x= 11/9
Solve for x: sqrt(2x+3)+sqrt(4-x)=4
The solution is x=3,x= 11/9