What is the answer to sqrt(x-3)+sqrt(x-4)=sqrt(10)+3 ?

The answer to sqrt(x-3)+sqrt(x-4)=sqrt(10)+3 is x=13

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sqrt(x-3)+sqrt(x-4)=sqrt(10)+3

Solution

x - 3 + x - 4 = 10 + 3

Solution

x = 13

Solution steps

x - 3 + x - 4 = 10 + 3

Remove square roots

x - 4 = 9

Subtract

x

from both sides

x - 3 - x = x + 15 + 610 - 210 x - 4 - 6 x - 4 - x

Simplify

- 3 = 15 + 610 - 210 x - 4 - 6 x - 4

Switch sides

15 + 610 - 210 x - 4 - 6 x - 4 = - 3

Move

15

to the right side

610 - 210 x - 4 - 6 x - 4 = - 18

Move

610

to the right side

- 210 x - 4 - 6 x - 4 = - 18 - 610

Factor

- 210 x - 4 - 6 x - 4 : - 2 (10 + 3) x - 4

- 2 (10 + 3) x - 4 = - 18 - 610

Divide both sides by

- 2 (10 + 3)

x - 4 = 3

Solve

x - 4 = 9 : x = 13

x = 13

Verify Solutions:

x = 13

True

The solution is

x = 13

Graph

Popular Examples

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x - 4 = 5 - 2 x

5sqrt(r-5)=45

5 r - 5 = 45

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2 - 3 x = 7

1-1/(3\sqrt[3]{t^2)}=0

1 - \frac{1}{3 3 t ^{2}} = 0

solvefor w,sqrt(29+4w)=23-cw solve for

w, 29 + 4 w = 23 - c w

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x-3)+sqrt(x-4)=sqrt(10)+3 ?
The answer to sqrt(x-3)+sqrt(x-4)=sqrt(10)+3 is x=13
Solve for x: sqrt(x-3)+sqrt(x-4)=sqrt(10)+3
The solution is x=13

sqrt(x-3)+sqrt(x-4)=sqrt(10)+3

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x-3)+sqrt(x-4)=sqrt(10)+3 ?

Solve for x: sqrt(x-3)+sqrt(x-4)=sqrt(10)+3