Consider the following equation.
1 answer:
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 - 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + 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
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the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.
<h3>What is the linear system?</h3>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Condition for the parallel lines.
L1, ax + bx + c = 0
L2, dx + ey + f = 0
If then lines have infinitely many solutions.
y = –3x + 4 and 3y = –9x + 12
On comparing we have
a = -3 , b = 1, and c = 4
d = -9 , e = 3, and f = 12
Then their ratio will be
Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.
Thus the option B is correct.
More about the linear system link is given below.