If a and b are real numbers such that 2 + α 4 = a + b α , where α = - 1 + i 3 2 , then a + b is equal to:

Question

If a and b are real numbers such that 2 + &#945; 4 = a + b &#945; , where &#945; = - 1 + i 3 2 , then a + b is equal to:

Aicharya · Accepted Answer

2 + &#945; 4 = a + b &#945; 4 + &#945; 2 + 4 &#945; 2 = a + b &#945; Now using, &#945; = - 1 + i 3 2 &#8658; 2 &#945; + 1 2 = i 3 2 &#8658; &#945; 2 = - 1 + &#945; So, a + b &#945; = 4 - &#945; - 1 + 4 &#945; 2 a + b &#945; = 3 + 3 &#945; 2 = 9 1 + 2 &#945; + &#945; 2 a + b &#945; = 9 1 + 2 &#945; + - 1 - &#945; = 9 &#945; &#8658; a = 0 , &#160; b = 9 &#8658; a + b = 9

If a and b are real numbers such that 2 + α 4 = a + b α , where α = - 1 + i 3 2 , then a + b…

Solution

If a and b are real numbers such that 2 + &#945; 4 = a + b &#945; , where &#945; = - 1 + i 3 2 , then a + b…

Solution

If a and b are real numbers such that 2 + α 4 = a + b α , where α = - 1 + i 3 2 , then a + b…