Question

Use the quadratic formula to solve x2 – 3x - 2 = 0.

Answer 1

Answer:

2.5 or 3.5

Step-by-step explanation:

The quadratic formula is $x = -b +/- \frac{\sqrt{b^2 + 4ac}}{2a}$ .

a, b, and c are determined by the terms in the formula ax^2 + bx + c

They gave you the equation x^2 - 3x - 2, which fits that formula. a is 1, b is -3, and c is -2. So plug those values into the equation:

$x = -(-3) +/- \frac{\sqrt{(-3)^2 + 4(1)(-2)}}{2(1)}$

$x = 3 +/- \frac{\sqrt{9 -8}}{2}$

$x = 3 +/- \frac{\sqrt{1}}{2}$

$x = 3 +/- \frac{1}{2}$

So x is 3 plus or minus -1/2. 3 plus -1/2 is 2.5

3 minus -1/2 is 3.5

So the 2 possible x values are 2.5 and 3.5.

Answer 2

Answer:

x = 2 , 1

Step-by-step explanation: