Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation x^2+y^2=1
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Equation x^2-8x+16=0
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Equation x^4=81
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Equation 12/(x-15)=15/(x-12)
- Express {x} in terms of y where:
- -4*x+7*y=-16
- -1*x-20*y=1
- 14*x-10*y=-4
- -11*x+16*y=3
- Limit of the function:
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sqrt(1-2*x)
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Identical expressions
- sqrt(one - two *x)=a-abs(seven)
- square root of (1 minus 2 multiply by x) equally a minus abs(7)
- square root of (one minus two multiply by x) equally a minus abs(seven)
- √(1-2*x)=a-abs(7)
- sqrt(1-2x)=a-abs(7)
- sqrt1-2x=a-abs7
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Similar expressions
- sqrt(1-2x)=a-11absolute(x)
- sqrt(1-2x)=a-7absolute(x)
- sqrt(1+2*x)=a-abs(7)
- sqrt(1-2*x)=a+abs(7)
sqrt(1-2*x)=a-abs(7) equation
The teacher will be very surprised to see your correct solution 😉
The solution
The graph
Sum and product of roots
[src]
sum
2 2 1 im (a) (-7 + re(a)) - + ------ - ------------- - I*(-7 + re(a))*im(a) 2 2 2
$$- \frac{\left(\operatorname{re}{\left(a\right)} - 7\right)^{2}}{2} - i \left(\operatorname{re}{\left(a\right)} - 7\right) \operatorname{im}{\left(a\right)} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{1}{2}$$
=
2 2 1 im (a) (-7 + re(a)) - + ------ - ------------- - I*(-7 + re(a))*im(a) 2 2 2
$$- \frac{\left(\operatorname{re}{\left(a\right)} - 7\right)^{2}}{2} - i \left(\operatorname{re}{\left(a\right)} - 7\right) \operatorname{im}{\left(a\right)} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{1}{2}$$
product
2 2 1 im (a) (-7 + re(a)) - + ------ - ------------- - I*(-7 + re(a))*im(a) 2 2 2
$$- \frac{\left(\operatorname{re}{\left(a\right)} - 7\right)^{2}}{2} - i \left(\operatorname{re}{\left(a\right)} - 7\right) \operatorname{im}{\left(a\right)} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{1}{2}$$
=
2 2 1 im (a) (-7 + re(a)) - + ------ - ------------- - I*(-7 + re(a))*im(a) 2 2 2
$$- \frac{\left(\operatorname{re}{\left(a\right)} - 7\right)^{2}}{2} - i \left(\operatorname{re}{\left(a\right)} - 7\right) \operatorname{im}{\left(a\right)} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{1}{2}$$
1/2 + im(a)^2/2 - (-7 + re(a))^2/2 - i*(-7 + re(a))*im(a)
Rapid solution
[src]
2 2
1 im (a) (-7 + re(a))
x1 = - + ------ - ------------- - I*(-7 + re(a))*im(a)
2 2 2
$$x_{1} = - \frac{\left(\operatorname{re}{\left(a\right)} - 7\right)^{2}}{2} - i \left(\operatorname{re}{\left(a\right)} - 7\right) \operatorname{im}{\left(a\right)} + \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{2} + \frac{1}{2}$$
x1 = -(re(a) - 7)^2/2 - i*(re(a) - 7)*im(a) + im(a)^2/2 + 1/2