Question

The coefficients b and c in the equation x^2 bx c=0 are also the roots of the equation c doesnt equal o find b and c

A) \(b = 1, c = 0\)
B) \(b = 0, c = 1\)
C) \(b = -1, c = 0\)
D) \(b = 0, c = -1\)

Answer 1

The coefficients b and c in the equation are also the roots of the equation c doesn't equal 0. To find b and c, we need to use the quadratic formula and substitute c into the equation.

Step-by-step explanation:

The coefficients b and c in the equation x^2 + bx + c = 0 are also the roots of the equation c doesn't equal 0.

To find b and c, we need to use the quadratic formula. The quadratic formula is given by: x = (-b ± sqrt(b^2 - 4ac)) / (2a).

Since b and c are the roots of the equation, they will satisfy the equation: c = (-b ± sqrt(b^2 - 4ac)) / (2a).

Given that c doesn't equal 0, we can substitute c into the equation and solve for b.

The correct answer is (B) b = 0, c = 1.