Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -x=4-3(3x-8)
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Equation x/9+x=-10/3
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Equation √(x^2-1)=2*x
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Equation 4(x-3)=x+6
- Express {x} in terms of y where:
- -6*x-20*y=8
- -9*x-15*y=-4
- 1*x+5*y=-11
- 12*x-14*y=20
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Identical expressions
- - sixty + twenty *cos(thirty)* two * zero . two - thirty *sin(thirty)* four * zero . two - three * zero . two *(- seventy-two . seven hundred and twenty-seven)+x= zero
- minus 60 plus 20 multiply by co sinus of e of (30) multiply by 2 multiply by 0.2 minus 30 multiply by sinus of (30) multiply by 4 multiply by 0.2 minus 3 multiply by 0.2 multiply by ( minus 72.727) plus x equally 0
- minus sixty plus twenty multiply by co sinus of e of (thirty) multiply by two multiply by zero . two minus thirty multiply by sinus of (thirty) multiply by four multiply by zero . two minus three multiply by zero . two multiply by ( minus seventy minus two . seven hundred and twenty minus seven) plus x equally zero
- -60+20cos(30)20.2-30sin(30)40.2-30.2(-72.727)+x=0
- -60+20cos3020.2-30sin3040.2-30.2-72.727+x=0
- -60+20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(-72.727)+x=O
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Similar expressions
- 60+20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(-72.727)+x=0
- -60+20*cos(30)*2*0.2-30*sin(30)*4*0.2+3*0.2*(-72.727)+x=0
- -60+20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(72.727)+x=0
- -60-20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(-72.727)+x=0
- -60+20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(-72.727)-x=0
- -60+20*cos(30)*2*0.2+30*sin(30)*4*0.2-3*0.2*(-72.727)+x=0
-60+20*cos(30)*2*0.2-30*sin(30)*4*0.2-3*0.2*(-72.727)+x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3
-*(-72727)
20*cos(30)*2 30*sin(30)*4 5
-60 + ------------ - ------------ - ---------- + x = 0
5 5 1000
$$x + \left(\left(\left(-60 + \frac{2 \cdot 20 \cos{\left(30 \right)}}{5}\right) - \frac{4 \cdot 30 \sin{\left(30 \right)}}{5}\right) - \frac{\left(-72727\right) \frac{3}{5}}{1000}\right) = 0$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Move free summands (without x)
from left part to right part, we given:
$$x + 8 \cos{\left(30 \right)} - 24 \sin{\left(30 \right)} = \frac{81819}{5000}$$
Divide both parts of the equation by (x - 24*sin(30) + 8*cos(30))/x
We get the answer: x = 81819/5000 - 8*cos(30) + 24*sin(30)
-60+20*cos(30)*2*(1/5)-30*sin(30)*4*(1/5)-3*(1/5)*(-(72727/1000))+x = 0
Expand brackets in the left part
-60+20*cos30*21/5-30*sin30*41/5-3*1/572727/1000)+x = 0
Move free summands (without x)
from left part to right part, we given:
$$x + 8 \cos{\left(30 \right)} - 24 \sin{\left(30 \right)} = \frac{81819}{5000}$$
Divide both parts of the equation by (x - 24*sin(30) + 8*cos(30))/x
x = 81819/5000 / ((x - 24*sin(30) + 8*cos(30))/x)
We get the answer: x = 81819/5000 - 8*cos(30) + 24*sin(30)
Rapid solution
[src]
81819
x1 = ----- - 8*cos(30) + 24*sin(30)
5000
$$x_{1} = 24 \sin{\left(30 \right)} - 8 \cos{\left(30 \right)} + \frac{81819}{5000}$$
x1 = 24*sin(30) - 8*cos(30) + 81819/5000
Sum and product of roots
[src]
sum
81819 ----- - 8*cos(30) + 24*sin(30) 5000
$$24 \sin{\left(30 \right)} - 8 \cos{\left(30 \right)} + \frac{81819}{5000}$$
=
81819 ----- - 8*cos(30) + 24*sin(30) 5000
$$24 \sin{\left(30 \right)} - 8 \cos{\left(30 \right)} + \frac{81819}{5000}$$
product
81819 ----- - 8*cos(30) + 24*sin(30) 5000
$$24 \sin{\left(30 \right)} - 8 \cos{\left(30 \right)} + \frac{81819}{5000}$$
=
81819 ----- - 8*cos(30) + 24*sin(30) 5000
$$24 \sin{\left(30 \right)} - 8 \cos{\left(30 \right)} + \frac{81819}{5000}$$
81819/5000 - 8*cos(30) + 24*sin(30)