Answer:
Step-by-step explanation:
[tex]24 = x^2 - 4x + 3\\\\ x^2 - 4x + 3-24=0\\\\\underbrace{x^2-2\cdot x\cdot2+2^2}-2^2-21=0\\\\{}\qquad(x-2)^2-25=0\\\\{}\qquad\bold{(x-2)^2=25}\\\\{}\qquad x-2=\pm\sqrt{25}\\\\{}\qquad \bold{x=2\pm5}[/tex]
the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5
The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.
part 1
Given equation,
x² - 4x + 3 = 24
x² - 4x + 4 - 4 + 3 = 24
(x - 2)² - 1 = 24
(x - 2)² = 24 + 1
(x - 2)² = 25
Part 2
Solution for the given equation that transformed in part 1 of the solution.
(x - 2)² = 25
(x - 2) = √25
(x - 2) = ±5
x = 2 ± 5
Thus , the required equation for 1 is (x - 2)² = 25 and solution for 2 is x = 2 ± 5
Learn more about the equation here:
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