Quadratic equation
(x-2)^2 +1 =2x-3
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QUESTION ASKED :
(x - 2)² + 1 = 2x - 3
TYPE OF EQUATION :
Quadratic equation
ADDITIONAL INFORMATION ;
IN the equation, the highest power of the variable is 2 .so, it is called a second degree equation also. A second degree equation of one variable is called a quadratic equation.
SOLUTION OF QUESTION ;
(x - 2) ² + 1 = 2x - 3
x² - 4x + 4 + 1 = 2x - 3
x² - 4x + 5 = 2x - 3
x² - 4x -2x + 5 +3= 0
x² - 6x + 8= 0
By 1st into last method,
x² - 4x -2x + 8= 0
x( x - 4) - 2( x -4 ) = 0
( x - 4) ( x - 2) = 0
so,
Either,
x -4 = 0
x = 4
or,
x - 2 = 0
x = 2 answer
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