Mister Exam
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How to use it?
- Equation:
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Equation 51=4x-x
- Equation 2cos^2(2x)-2sin(4x)+1=0
- Equation (x^2-16)^2+(x^2+5x-36)^2=0
- Equation 5/8/x=-37/48
- Express {x} in terms of y where:
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Identical expressions
- five / eight /x=- thirty-seven / forty-eight
- 5 divide by 8 divide by x equally minus 37 divide by 48
- five divide by eight divide by x equally minus thirty minus seven divide by forty minus eight
- 5 divide by 8 divide by x=-37 divide by 48
-
Similar expressions
- 5/8/x=+37/48
5/8/x=-37/48 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{5}{8 x} = - \frac{37}{48}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$- \frac{8 x}{5} = \frac{48}{37}$$
$$- \frac{8 x}{5} = \frac{48}{37}$$
Divide both parts of the equation by -8/5
We get the answer: x = -30/37
$$\frac{5}{8 x} = - \frac{37}{48}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1
b1 = 48/37
a2 = 1
b2 = -8*x/5
so we get the equation
$$- \frac{8 x}{5} = \frac{48}{37}$$
$$- \frac{8 x}{5} = \frac{48}{37}$$
Divide both parts of the equation by -8/5
x = 48/37 / (-8/5)
We get the answer: x = -30/37
Sum and product of roots
[src]
sum
-30 ---- 37
$$- \frac{30}{37}$$
=
-30 ---- 37
$$- \frac{30}{37}$$
product
-30 ---- 37
$$- \frac{30}{37}$$
=
-30 ---- 37
$$- \frac{30}{37}$$
-30/37