Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2(2-y)=y-5
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Equation 2x-3=x+1
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Equation 1,4x(3+5x)=2x(3,5x-2)-4,1
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Equation 9+13x=35+26x
- Express {x} in terms of y where:
- -12*x+20*y=5
- 12*x-6*y=18
- -6*x+11*y=9
- -18*x-20*y=3
- Sum of series:
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15
- Integral of d{x}:
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15
- Derivative of:
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15
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Identical expressions
- x^ two -(√x+ three)^ two = fifteen
- x squared minus (√x plus 3) squared equally 15
- x to the power of two minus (√x plus three) to the power of two equally fifteen
- x2-(√x+3)2=15
- x2-√x+32=15
- x²-(√x+3)²=15
- x to the power of 2-(√x+3) to the power of 2=15
- x^2-√x+3^2=15
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Similar expressions
- x^2+(√x+3)^2=15
- x^2-(√x-3)^2=15
x^2-(√x+3)^2=15 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 2 / ___ \ x - \\/ x + 3/ = 15
$$x^{2} - \left(\sqrt{x} + 3\right)^{2} = 15$$
Rapid solution
[src]
__________________
2 / 1585 _____ 121
x1 = - - + 3 / ---- + 2*\/ 254 + ------------------------
3 \/ 27 __________________
/ 1585 _____
9*3 / ---- + 2*\/ 254
\/ 27
$$x_{1} = - \frac{2}{3} + \frac{121}{9 \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}} + \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}$$
x1 = -2/3 + 121/(9*(2*sqrt(254) + 1585/27)^(1/3)) + (2*sqrt(254) + 1585/27)^(1/3)
Sum and product of roots
[src]
sum
__________________
2 / 1585 _____ 121
- - + 3 / ---- + 2*\/ 254 + ------------------------
3 \/ 27 __________________
/ 1585 _____
9*3 / ---- + 2*\/ 254
\/ 27
$$- \frac{2}{3} + \frac{121}{9 \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}} + \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}$$
=
__________________
2 / 1585 _____ 121
- - + 3 / ---- + 2*\/ 254 + ------------------------
3 \/ 27 __________________
/ 1585 _____
9*3 / ---- + 2*\/ 254
\/ 27
$$- \frac{2}{3} + \frac{121}{9 \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}} + \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}$$
product
__________________
2 / 1585 _____ 121
- - + 3 / ---- + 2*\/ 254 + ------------------------
3 \/ 27 __________________
/ 1585 _____
9*3 / ---- + 2*\/ 254
\/ 27
$$- \frac{2}{3} + \frac{121}{9 \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}} + \sqrt[3]{2 \sqrt{254} + \frac{1585}{27}}$$
=
___________________
3 / _____
2 \/ 1585 + 54*\/ 254 121
- - + ---------------------- + ------------------------
3 3 ___________________
3 / _____
3*\/ 1585 + 54*\/ 254
$$- \frac{2}{3} + \frac{121}{3 \sqrt[3]{54 \sqrt{254} + 1585}} + \frac{\sqrt[3]{54 \sqrt{254} + 1585}}{3}$$
-2/3 + (1585 + 54*sqrt(254))^(1/3)/3 + 121/(3*(1585 + 54*sqrt(254))^(1/3))