Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation x-y=7
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Equation 1/(x+6)=2
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Equation (x-4)^2-x^2=0
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Equation 6/(x+5)=-5
- Express {x} in terms of y where:
- 7*x-1*y=-7
- 10*x-15*y=16
- -14*x-12*y=5
- 13*x-12*y=19
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Identical expressions
- √(x^ three +4x^ two - thirty-six)=x
- √(x cubed plus 4x squared minus 36) equally x
- √(x to the power of three plus 4x to the power of two minus thirty minus six) equally x
- √(x3+4x2-36)=x
- √x3+4x2-36=x
- √(x³+4x²-36)=x
- √(x to the power of 3+4x to the power of 2-36)=x
- √x^3+4x^2-36=x
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Similar expressions
- √(x^3+4x^2+36)=x
- √(x^3-4x^2-36)=x
√(x^3+4x^2-36)=x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
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________________ / 3 2 \/ x + 4*x - 36 = x
$$\sqrt{x^{3} + 4 x^{2} - 36} = x$$
Rapid solution
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_______________
1 3 / ___
x1 = -1 + ------------------ + \/ 17 + 12*\/ 2
_______________
3 / ___
\/ 17 + 12*\/ 2
$$x_{1} = -1 + \frac{1}{\sqrt[3]{12 \sqrt{2} + 17}} + \sqrt[3]{12 \sqrt{2} + 17}$$
Sum and product of roots
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sum
_______________
1 3 / ___
0 + -1 + ------------------ + \/ 17 + 12*\/ 2
_______________
3 / ___
\/ 17 + 12*\/ 2
$$0 + \left(-1 + \frac{1}{\sqrt[3]{12 \sqrt{2} + 17}} + \sqrt[3]{12 \sqrt{2} + 17}\right)$$
=
_______________
1 3 / ___
-1 + ------------------ + \/ 17 + 12*\/ 2
_______________
3 / ___
\/ 17 + 12*\/ 2
$$-1 + \frac{1}{\sqrt[3]{12 \sqrt{2} + 17}} + \sqrt[3]{12 \sqrt{2} + 17}$$
product
/ _______________\ | 1 3 / ___ | 1*|-1 + ------------------ + \/ 17 + 12*\/ 2 | | _______________ | | 3 / ___ | \ \/ 17 + 12*\/ 2 /
$$1 \left(-1 + \frac{1}{\sqrt[3]{12 \sqrt{2} + 17}} + \sqrt[3]{12 \sqrt{2} + 17}\right)$$
=
_______________
1 3 / ___
-1 + ------------------ + \/ 17 + 12*\/ 2
_______________
3 / ___
\/ 17 + 12*\/ 2
$$-1 + \frac{1}{\sqrt[3]{12 \sqrt{2} + 17}} + \sqrt[3]{12 \sqrt{2} + 17}$$
-1 + (17 + 12*sqrt(2))^(-1/3) + (17 + 12*sqrt(2))^(1/3)
Numerical answer
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x1 = 2.54744467357476
x2 = 2.54744467357473 + 1.72792428972261e-14*i
x2 = 2.54744467357473 + 1.72792428972261e-14*i
The graph