Mister Exam
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How to use it?
- Equation:
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Equation x^2+3x+2=0
- Equation x+y=5
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Equation sin(x)=3
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Equation x^2-11*x+30=0
- Express {x} in terms of y where:
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- -14*x-8*y=20
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Identical expressions
- nine *x- seventy-two *√x= zero
- 9 multiply by x minus 72 multiply by √x equally 0
- nine multiply by x minus seventy minus two multiply by √x equally zero
- 9x-72√x=0
- 9*x-72*√x=O
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Similar expressions
- 9*x+72*√x=0
9*x-72*√x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$- 72 \sqrt{x} + 9 x = 0$$
Obviously:
next,
transform
$$\sqrt{x} = 8$$
Because equation degree is equal to = 1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2-th degree:
We get:
$$\left(\sqrt{x}\right)^{2} = 8^{2}$$
or
$$x = 64$$
We get the answer: x = 64
The final answer:
$$x_{1} = 64$$
$$- 72 \sqrt{x} + 9 x = 0$$
Obviously:
x0 = 0
next,
transform
$$\sqrt{x} = 8$$
Because equation degree is equal to = 1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2-th degree:
We get:
$$\left(\sqrt{x}\right)^{2} = 8^{2}$$
or
$$x = 64$$
We get the answer: x = 64
The final answer:
x0 = 0
$$x_{1} = 64$$