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(4x-3)^2 equation

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Numerical solution:

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The solution

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(4*x - 3)  = 0
(4x−3)2=0\left(4 x - 3\right)^{2} = 0
Simplify
Detail solution
Expand the expression in the equation
(4x−3)2=0\left(4 x - 3\right)^{2} = 0
We get the quadratic equation
16x2−24x+9=016 x^{2} - 24 x + 9 = 0
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=16a = 16
b=−24b = -24
c=9c = 9
, then
D = b^2 - 4 * a * c = 

(-24)^2 - 4 * (16) * (9) = 0

Because D = 0, then the equation has one root.
x = -b/2a = --24/2/(16)

x1=34x_{1} = \frac{3}{4}
The graph
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.002000
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 3/4
x1=34x_{1} = \frac{3}{4} 
x1 = 3/4
Sum and product of roots [src] 
sum
3/4
34\frac{3}{4} 
=
3/4
34\frac{3}{4} 
product
3/4
34\frac{3}{4} 
=
3/4
34\frac{3}{4} 
3/4
Numerical answer [src] 
x1 = 0.75
x1 = 0.75
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