Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2=11
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Equation 2*x^2+6*x+9=0
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Equation 10(x-9)=7
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Equation (x+2)^4+(x+2)^2-12=0
- Express {x} in terms of y where:
- -6*x-17*y=14
- 4*x-18*y=-14
- -14*x-1*y=3
- 1*x-6*y=-19
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Identical expressions
- sqrt(x^ two + nine)-(x^ two - seven)= two
- square root of (x squared plus 9) minus (x squared minus 7) equally 2
- square root of (x to the power of two plus nine) minus (x to the power of two minus seven) equally two
- √(x^2+9)-(x^2-7)=2
- sqrt(x2+9)-(x2-7)=2
- sqrtx2+9-x2-7=2
- sqrt(x²+9)-(x²-7)=2
- sqrt(x to the power of 2+9)-(x to the power of 2-7)=2
- sqrtx^2+9-x^2-7=2
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Similar expressions
- sqrt(x^2-9)-(x^2-7)=2
- sqrt(x^2+9)-(x^2+7)=2
- sqrt(x^2+9)+(x^2-7)=2
sqrt(x^2+9)-(x^2-7)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
________ / 2 2 \/ x + 9 + - x + 7 = 2
$$\left(7 - x^{2}\right) + \sqrt{x^{2} + 9} = 2$$
Rapid solution
[src]
_____________
/ ____
/ 11 \/ 57
x1 = - / -- + ------
\/ 2 2
$$x_{1} = - \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}}$$
_____________
/ ____
/ 11 \/ 57
x2 = / -- + ------
\/ 2 2
$$x_{2} = \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}}$$
x2 = sqrt(sqrt(57)/2 + 11/2)
Sum and product of roots
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sum
_____________ _____________
/ ____ / ____
/ 11 \/ 57 / 11 \/ 57
- / -- + ------ + / -- + ------
\/ 2 2 \/ 2 2
$$- \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}} + \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}}$$
=
0
$$0$$
product
_____________ _____________
/ ____ / ____
/ 11 \/ 57 / 11 \/ 57
- / -- + ------ * / -- + ------
\/ 2 2 \/ 2 2
$$- \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}} \sqrt{\frac{\sqrt{57}}{2} + \frac{11}{2}}$$
=
____ 11 \/ 57 - -- - ------ 2 2
$$- \frac{11}{2} - \frac{\sqrt{57}}{2}$$
-11/2 - sqrt(57)/2