Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-8*x+15=0
-
Equation -x^2+4x+3=x^2-x-(1+2x^2)
-
Equation 3x+3=5x
-
Equation x^2+3x-4=0
- Express {x} in terms of y where:
- -17*x+2*y=9
- -13*x+7*y=-15
- -14*x-8*y=20
- -1*x+4*y=-10
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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
$$x_{1} = 64$$