What is the answer to sqrt(x+4)-sqrt(x^2)+5x+4=0 ?

The answer to sqrt(x+4)-sqrt(x^2)+5x+4=0 is x\approx-0.95738…

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sqrt(x+4)-sqrt(x^2)+5x+4=0

Solution

x + 4 - x^{2} + 5 x + 4 = 0

Solution

x \approx - 0.95738 \dots

Solution steps

x + 4 - x^{2} + 5 x + 4 = 0

Remove square roots

100 x^{4} + 160 x^{3} + 64 x^{2} = 676 x^{4} + 2028 x^{3} + 2145 x^{2} + 936 x + 144

Switch sides

26 x^{2} - 10 x^{2} x + 40 x - 8 x^{2} + 16 = x + 4

Move

26 x^{2}

to the right side

- 10 x^{2} x + 40 x - 8 x^{2} + 16 = x + 4 - 26 x^{2}

Move

40 x

to the right side

- 10 x^{2} x - 8 x^{2} + 16 = - 26 x^{2} - 39 x + 4

Move

16

to the right side

- 10 x^{2} x - 8 x^{2} = - 26 x^{2} - 39 x - 12

Factor

- 10 x^{2} x - 8 x^{2} : - 2 x^{2} (5 x + 4)

- 2 x^{2} (5 x + 4) = - 26 x^{2} - 39 x - 12

Solve

100 x^{4} + 160 x^{3} + 64 x^{2} = 676 x^{4} + 2028 x^{3} + 2145 x^{2} + 936 x + 144 : x \approx - 0.34817 \dots, x \approx - 0.53461 \dots, x \approx - 0.95738 \dots, x \approx - 1.40288 \dots

x \approx - 0.34817 \dots, x \approx - 0.53461 \dots, x \approx - 0.95738 \dots, x \approx - 1.40288 \dots

Verify Solutions:

x \approx - 0.34817 \dots

False

, x \approx - 0.53461 \dots

False

, x \approx - 0.95738 \dots

True

, x \approx - 1.40288 \dots

False

The solution is

x \approx - 0.95738 \dots

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c^{7.2} = 36

solvefor x,x^{1/2}+y^{1/2}=a^{1/2}solve for

x, x^{\frac{1}{2}} + y^{\frac{1}{2}} = a^{\frac{1}{2}}

3^3sqrt(x)+5=26

3^{3} x + 5 = 26

x^2-2sqrt(2x)-2sqrt(3)=0

x^{2} - 2 2 x - 23 = 0

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x+4)-sqrt(x^2)+5x+4=0 ?
The answer to sqrt(x+4)-sqrt(x^2)+5x+4=0 is x\approx-0.95738…
Solve for x: sqrt(x+4)-sqrt(x^2)+5x+4=0
The solution is x\approx-0.95738…

sqrt(x+4)-sqrt(x^2)+5x+4=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x+4)-sqrt(x^2)+5x+4=0 ?

Solve for x: sqrt(x+4)-sqrt(x^2)+5x+4=0