The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
What is the Quartic Formula?
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
What is the solution to the above question?
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots
[tex]x^{4}[/tex] - 6x³ + 9x² = x - 2
Add two to both sides
→ [tex]x^{4}[/tex] - 6x³ + 9x²+2 = x - 2 +2
→ [tex]x^{4}[/tex] - 6x³ + 9x²+2 = x
Subtract X from both sides
→ [tex]x^{4}[/tex] - 6x³ + 9x²+2 -x = x -x
→ [tex]x^{4}[/tex] - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a[tex]x^{4}[/tex] + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
https://brainly.com/question/25841119
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