Question

What are the excluded values of x for the expression x+4−3x²+12x+36?

a) x=−6,x=2
b) x=−6,x=−3,x=2
c) x=−2,x=6
d) x=−2,x=3,x=6

Answer 1

The expression provided lacks context for determining excluded values of x. In general, quadratic equations do not have excluded values unless part of a rational function. The quadratic formula is used to find solutions for x when given a quadratic equation.

Step-by-step explanation:

The expression given, x+4−3x²+12x+36, seems to be missing an operation between terms since it is not a standard algebraic form and does not provide enough context to determine excluded values for x. However, we can discuss the excluded values using a general quadratic expression ax² + bx + c.

Quadratic equations typically do not have excluded values for x unless the equation is part of a rational expression (a fraction) where the denominator can be zero. Since x²+0.0211x-0.0211 = 0 appears to be a quadratic expression, we can solve for x using the quadratic formula:
x = [-b ± √(b² - 4ac)] / (2a).

For example, if we assume the quadratic equation x² + 0.0211x - 0.0211 = 0, we would substitute a = 1, b = 0.0211, and c = -0.0211 into the formula and solve for the values of x. There would be no explicitly excluded values unless this equation is part of an expression where x could cause division by zero.