Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3*x^2+6*x+3=0
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Equation -4x+9=-19
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Equation -4x+3=2x
- Equation 3*x^3-27*x=0
- Express {x} in terms of y where:
- 19*x-18*y=15
- 13*x-13*y=-4
- 19*x-20*y=-12
- 12*x+7*y=15
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Identical expressions
- 16x+5x2+ twelve = zero
- 16x plus 5x2 plus 12 equally 0
- 16x plus 5x2 plus twelve equally zero
- 16x+5x2+12=O
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Similar expressions
- 16x+5x2-12=0
- 16x-5x2+12=0
16x+5x2+12=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
The graph
Sum and product of roots
[src]
sum
3 5*re(x2) 5*I*im(x2) - - - -------- - ---------- 4 16 16
$$- \frac{5 \operatorname{re}{\left(x_{2}\right)}}{16} - \frac{5 i \operatorname{im}{\left(x_{2}\right)}}{16} - \frac{3}{4}$$
=
3 5*re(x2) 5*I*im(x2) - - - -------- - ---------- 4 16 16
$$- \frac{5 \operatorname{re}{\left(x_{2}\right)}}{16} - \frac{5 i \operatorname{im}{\left(x_{2}\right)}}{16} - \frac{3}{4}$$
product
3 5*re(x2) 5*I*im(x2) - - - -------- - ---------- 4 16 16
$$- \frac{5 \operatorname{re}{\left(x_{2}\right)}}{16} - \frac{5 i \operatorname{im}{\left(x_{2}\right)}}{16} - \frac{3}{4}$$
=
3 5*re(x2) 5*I*im(x2) - - - -------- - ---------- 4 16 16
$$- \frac{5 \operatorname{re}{\left(x_{2}\right)}}{16} - \frac{5 i \operatorname{im}{\left(x_{2}\right)}}{16} - \frac{3}{4}$$
-3/4 - 5*re(x2)/16 - 5*i*im(x2)/16
Rapid solution
[src]
3 5*re(x2) 5*I*im(x2)
x1 = - - - -------- - ----------
4 16 16
$$x_{1} = - \frac{5 \operatorname{re}{\left(x_{2}\right)}}{16} - \frac{5 i \operatorname{im}{\left(x_{2}\right)}}{16} - \frac{3}{4}$$
x1 = -5*re(x2)/16 - 5*i*im(x2)/16 - 3/4