Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^3=3
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Equation 5-x^2=0
- Equation (-5*x+3)*(-x+8)=0
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Equation x^2+6=5x
- Express {x} in terms of y where:
- -6*x+11*y=-5
- -3*x-19*y=-9
- -19*x-15*y=15
- 16*x+14*y=-14
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Identical expressions
- - four , six - one , five (4x- five)+ eight ,5x= zero . three (3x- seven)+(2x- fifteen . six)/ seven
- minus 4,6 minus 1,5(4x minus 5) plus 8,5x equally 0.3(3x minus 7) plus (2x minus 15.6) divide by 7
- minus four , six minus one , five (4x minus five) plus eight ,5x equally zero . three (3x minus seven) plus (2x minus fifteen . six) divide by seven
- -4,6-1,54x-5+8,5x=0.33x-7+2x-15.6/7
- -4,6-1,5(4x-5)+8,5x=O.3(3x-7)+(2x-15.6)/7
- -4,6-1,5(4x-5)+8,5x=0.3(3x-7)+(2x-15.6) divide by 7
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Similar expressions
- -4,6-1,5(4x-5)+8,5x=0.3(3x-7)+(2x+15.6)/7
- -4,6+1,5(4x-5)+8,5x=0.3(3x-7)+(2x-15.6)/7
- -4,6-1,5(4x-5)+8,5x=0.3(3x-7)-(2x-15.6)/7
- 4,6-1,5(4x-5)+8,5x=0.3(3x-7)+(2x-15.6)/7
- -4,6-1,5(4x+5)+8,5x=0.3(3x-7)+(2x-15.6)/7
- -4,6-1,5(4x-5)-8,5x=0.3(3x-7)+(2x-15.6)/7
- -4,6-1,5(4x-5)+8,5x=0.3(3x+7)+(2x-15.6)/7
-4,6-1,5(4x-5)+8,5x=0.3(3x-7)+(2x-15.6)/7 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
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23 3*(4*x - 5) 17*x 3*(3*x - 7) 2*x - 78/5 - -- - ----------- + ---- = ----------- + ---------- 5 2 2 10 7
$$\frac{17 x}{2} + \left(- \frac{3 \left(4 x - 5\right)}{2} - \frac{23}{5}\right) = \frac{2 x - \frac{78}{5}}{7} + \frac{3 \left(3 x - 7\right)}{10}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{2} = \frac{83 x}{70} - \frac{253}{35}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{46 x}{35} = - \frac{253}{35}$$
Divide both parts of the equation by 46/35
We get the answer: x = -11/2
-(23/5)-(3/2)*(4*x-5)+(17/2)*x = (3/10)*(3*x-7)+(2*x-(78/5))/7
Expand brackets in the left part
-23/5-3/24*x-5+17/2x = (3/10)*(3*x-7)+(2*x-(78/5))/7
Expand brackets in the right part
-23/5-3/24*x-5+17/2x = 3/103*x-7+2*x+78/5)/7
Looking for similar summands in the left part:
29/10 + 5*x/2 = 3/103*x-7+2*x+78/5)/7
Looking for similar summands in the right part:
29/10 + 5*x/2 = -303/70 + 83*x/70
Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{2} = \frac{83 x}{70} - \frac{253}{35}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{46 x}{35} = - \frac{253}{35}$$
Divide both parts of the equation by 46/35
x = -253/35 / (46/35)
We get the answer: x = -11/2
Sum and product of roots
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sum
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
product
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
-11/2