Mister Exam

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How to use it?
Equation:
Equation cos(x)=2/3
Equation x+y=3
Equation (x-11)^4=(x+3)^4
Equation 9-4x=3x-40
Express {x} in terms of y where:
6*x+17*y=3
-17*x+18*y=10
10*x-18*y=3
13*x-12*y=19
Identical expressions
(two *x- one)^ two - four *x^ two = zero
(2 multiply by x minus 1) squared minus 4 multiply by x squared equally 0
(two multiply by x minus one) to the power of two minus four multiply by x to the power of two equally zero
(2*x-1)2-4*x2=0
2*x-12-4*x2=0
(2*x-1)²-4*x²=0
(2*x-1) to the power of 2-4*x to the power of 2=0
(2x-1)^2-4x^2=0
(2x-1)2-4x2=0
2x-12-4x2=0
2x-1^2-4x^2=0
(2*x-1)^2-4*x^2=O
Similar expressions
(2*x-1)^2+4*x^2=0
(2*x+1)^2-4*x^2=0

(2x-1)^2-4x^2=0 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

         2      2    
(2*x - 1)  - 4*x  = 0

$$- 4 x^{2} + \left(2 x - 1\right)^{2} = 0$$

Simplify

Detail solution

Given the equation:

(2*x-1)^2-4*x^2 = 0

Expand expressions:

1 - 4*x + 4*x^2 - 4*x^2 = 0

Reducing, you get:

1 - 4*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 4 x = -1$$
Divide both parts of the equation by -4

x = -1 / (-4)

We get the answer: x = 1/4

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 1/4

$$x_{1} = \frac{1}{4}$$

x1 = 1/4

Sum and product of roots [src]

sum

1/4

$$\frac{1}{4}$$

1/4

$$\frac{1}{4}$$

product

1/4

$$\frac{1}{4}$$

1/4

$$\frac{1}{4}$$

1/4

Numerical answer [src]

x1 = 0.25

x1 = 0.25

The graph

(2*x-1)^2-4*x^2=0 equation