Question

The equation, x³ - 8x² + 37 x - 50 is factored and it has (3 - 4i) as one of its roots.

What is the real root of this equation?

1. 2
2. 4
3. 6.5
4. 13

Answer 1

Correct Answer - Option 1 : 2

Given

Equation is x3 - 8x2 + 37 x - 50

Concept

If  'a' is root of any polynomial, then on putting value 'a' on the place variable we will get zero.

Calculation

Checking through options

lets put option 1 i.e. x = 2, we get

2³ - 8 × 2² + 37 × 2 - 50

= 8 - 32 + 74 - 50

= 82 - 82

= 0

Hence, 2 is the real root of given equation.