Mister Exam
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How to use it?
- Equation:
- Equation x^2-169=0
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Equation sqrt(x^2+3x-2)-sqrt(x^2-x+1)=4x-3
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Equation 18x+9=32x+14
- Equation sqrt(4x^2-9x+2)=x-2
- Express {x} in terms of y where:
- -1*x-19*y=-10
- 5*x+5*y=20
- 4*x-16*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- Graphing y =:
- 4x-3
- Derivative of:
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4x-3
- Integral of d{x}:
- 4x-3
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Identical expressions
- sqrt(x^ two + three x- two)-sqrt(x^ two -x+ one)=4x-3
- square root of (x squared plus 3x minus 2) minus square root of (x squared minus x plus 1) equally 4x minus 3
- square root of (x to the power of two plus three x minus two) minus square root of (x to the power of two minus x plus one) equally 4x minus 3
- √(x^2+3x-2)-√(x^2-x+1)=4x-3
- sqrt(x2+3x-2)-sqrt(x2-x+1)=4x-3
- sqrtx2+3x-2-sqrtx2-x+1=4x-3
- sqrt(x²+3x-2)-sqrt(x²-x+1)=4x-3
- sqrt(x to the power of 2+3x-2)-sqrt(x to the power of 2-x+1)=4x-3
- sqrtx^2+3x-2-sqrtx^2-x+1=4x-3
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Similar expressions
- sqrt(x^2+3x-2)-sqrt(x^2-x-1)=4x-3
- sqrt(x^2+3x+2)-sqrt(x^2-x+1)=4x-3
- sqrt(x^2-3x-2)-sqrt(x^2-x+1)=4x-3
- sqrt(x^2+3x-2)+sqrt(x^2-x+1)=4x-3
- sqrt(x^2+3x-2)-sqrt(x^2-x+1)=4x+3
- sqrt(x^2+3x-2)-sqrt(x^2+x+1)=4x-3
sqrt(x^2+3x-2)-sqrt(x^2-x+1)=4x-3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
______________ ____________ / 2 / 2 \/ x + 3*x - 2 - \/ x - x + 1 = 4*x - 3
$$- \sqrt{\left(x^{2} - x\right) + 1} + \sqrt{\left(x^{2} + 3 x\right) - 2} = 4 x - 3$$
Sum and product of roots
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sum
____ 3 7 \/ 13 - + - - ------ 4 6 6
$$\left(\frac{7}{6} - \frac{\sqrt{13}}{6}\right) + \frac{3}{4}$$
=
____ 23 \/ 13 -- - ------ 12 6
$$\frac{23}{12} - \frac{\sqrt{13}}{6}$$
product
/ ____\
|7 \/ 13 |
3*|- - ------|
\6 6 /
--------------
4
$$\frac{3 \left(\frac{7}{6} - \frac{\sqrt{13}}{6}\right)}{4}$$
=
____ 7 \/ 13 - - ------ 8 8
$$\frac{7}{8} - \frac{\sqrt{13}}{8}$$
7/8 - sqrt(13)/8
Rapid solution
[src]
x1 = 3/4
$$x_{1} = \frac{3}{4}$$
____
7 \/ 13
x2 = - - ------
6 6
$$x_{2} = \frac{7}{6} - \frac{\sqrt{13}}{6}$$
x2 = 7/6 - sqrt(13)/6
The graph