Question

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

Answer 1

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

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=(-b\pm √(b^2-4ac))/(2a)`

`a=(-(-46)\pm √((-46)^2-4(2)(252)))/(2(2))`

`a=(46\pm √(100))/(4)`

`a=(46\pm 10)/(4)`

`a=(56)/(4),(36)/(4)`

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