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Gwar [14]
2 years ago
8

Consider the following equation.

Mathematics
1 answer:
EastWind [94]2 years ago
6 0

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

x^{4} - 6x³ + 9x² = x - 2

Add two to both sides

→ x^{4} - 6x³ + 9x²+2 = x - 2 +2

→  x^{4} - 6x³ + 9x²+2 = x

Subtract X from both sides

→  x^{4} - 6x³ + 9x²+2 -x = x -x

→  x^{4} - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
ax^{4} + 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;
brainly.com/question/25841119
#SPJ1



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