Question:

The value of x and y in (3y-2)+i(7-2x)=0

Updated On: Apr 15, 2024
  • x=\(\frac{2}{7}\), y=\(\frac{2}{3}\)
  • x=\(\frac{7}{2}\), y=\(\frac{3}{2}\)
  • x=\(\frac{2}{7}\), y=\(\frac{3}{2}\)
  • x=\(\frac{7}{2}\), y=\(\frac{2}{3}\)
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The Correct Option is D

Solution and Explanation

The correct option is (D): x=\(\frac{7}{2}\), y=\(\frac{2}{3}\)
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Concepts Used:

Complex Numbers and Quadratic Equations

Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.

Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.