Find the real solutions, if any, of the equation. Use the quadratic formula and a calculator. Express any solutions
rounded to two decimal places. Use 3.14 to approximate
-
A){-2.27, 1.27}
B){1.27, 2.27}
C){-1.27, 2.27}
D){-2.27, -1.27}

Question

Find the real solutions, if any, of the equation. Use the quadratic formula and a calculator. Express any solutions
rounded to two decimal places. Use 3.14 to approximate 
-
A){-2.27, 1.27} 
B){1.27, 2.27} 
C){-1.27, 2.27} 
D){-2.27, -1.27}

Quizplus · Accepted Answer

Using the quadratic formula with a = 2.14, b = -5.08, and c = 3.14, we get:
$$ x = \frac{-(-5.08) \pm \sqrt{(-5.08)^2 - 4(2.14)(3.14)}}{2(2.14)}
= \frac{5.08 \pm \sqrt{5.1204}}{4.28}
= \frac{5.08 \pm 2.26}{4.28}$$
Rounding to two decimal places, we get:
$$x \approx -2.27, 1.27$$
So the answer is choice A, which matches both of our solutions.

Find the Real Solutions, If Any, of the Equation