Question

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 2a^2-46a+252=0

Answer 1

Answer:

$\text{The solutions are 14 and 9}$

Step-by-step explanation:

Given the equation

$2a^2-46a+252=0$

we have to find the solution of above equation by using quadratic formula.

Equation:$2a^2-46a+252=0$

$\text{Comparing above with standard equation }ax^2+bx+c=0\text{, we get}$

a=2, b=-46, c=252

By quadratic formula

$a=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$a=\frac{-(-46)\pm \sqrt{(-46)^2-4(2)(252)}}{2(2)}$

$a=\frac{46\pm \sqrt{100}}{4}$

$a=\frac{46\pm 10}{4}$

$a=\frac{56}{4},\frac{36}{4}$

$\text{The solutions are 14 and 9}$

Answer 2

If we use the quadratic formula, then
                a = [ -(-46) +/- √(-46)^2 - 4(2)(252) ] / (2(2)) 
                a = 9, 14
The answers to this question are a=9 and a=14