Question

Solve the equation x^2−6.82941x+11=0:
a)4/3
b)3π
c)0.7
d)6.825

Answer 1

To solve the quadratic equation x^2 - 6.82941x + 11 = 0, we use the quadratic formula by substituting the values a = 1, b = -6.82941, and c = 11 to find the roots of the equation.

Step-by-step explanation:

The equation provided, x^2 - 6.82941x + 11 = 0, is a quadratic equation of the form ax^2 + bx + c = 0. Solving this type of equation generally involves using the quadratic formula:

For a quadratic equation ax^2 + bx + c = 0, the quadratic formula is given by:

x = [-b ± √(b^2 - 4ac)] / (2a)

Using the given equation:

• a = 1
• b = -6.82941
• c = 11

Substituting into the quadratic formula yields:

x = [6.82941 ± √((-6.82941)^2 - 4(1)(11))] / 2

It's important to calculate the discriminant (b^2 - 4ac) to determine the nature of the roots. After performing the necessary arithmetic, we can determine the value(s) of x, which should be one of the options provided