Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 4*x=0
-
Equation 7*x=0
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Equation 4x+3(x-7)=5
-
Equation x^2+6=5x
- Express {x} in terms of y where:
- 14*x-17*y=-4
- 18*x-10*y=-9
- 6*x+16*y=-7
- 2*x-16*y=14
- Derivative of:
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sqrt(2x+1)
- Integral of d{x}:
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sqrt(2x+1)
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Identical expressions
- sqrt(2x+ one)= four
- square root of (2x plus 1) equally 4
- square root of (2x plus one) equally four
- √(2x+1)=4
- sqrt2x+1=4
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Similar expressions
- sqrt(2x-1)=4
- x^2+(sqrt(2))x+1=0
- -7*81*x^2+432*sqrt(2)*x+144*8=0
- -2sqrt((2x+1)x)=-5-2x
sqrt(2x+1)=4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{2 x + 1} = 4$$
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:
$$\left(\sqrt{2 x + 1}\right)^{2} = 4^{2}$$
or
$$2 x + 1 = 16$$
Move free summands (without x)
from left part to right part, we given:
$$2 x = 15$$
Divide both parts of the equation by 2
We get the answer: x = 15/2
The final answer:
$$x_{1} = \frac{15}{2}$$
$$\sqrt{2 x + 1} = 4$$
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:
$$\left(\sqrt{2 x + 1}\right)^{2} = 4^{2}$$
or
$$2 x + 1 = 16$$
Move free summands (without x)
from left part to right part, we given:
$$2 x = 15$$
Divide both parts of the equation by 2
x = 15 / (2)
We get the answer: x = 15/2
The final answer:
$$x_{1} = \frac{15}{2}$$
Sum and product of roots
[src]
sum
15/2
$$\frac{15}{2}$$
=
15/2
$$\frac{15}{2}$$
product
15/2
$$\frac{15}{2}$$
=
15/2
$$\frac{15}{2}$$
15/2