Question

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramiya’s quadratic equation? Quadratic formula: x =

Answer 1

The quadratic formula is (-b±√(b²-4ac))÷2a

The quadratic formula sounded out is negative b plus or minus the square root of b squared minus four a times c all divided by two a.

Answer 2

Explanation:

For a quadratic equation
`ax^2+bx+c=0`

we can complete the squares

Divide by a to get

`x^2+(bx)/(a) +(c)/(a) =0`

Complete the square as

`(x+(b)/(2a) )^2 -(b^2)/(4a^2) -+(c)/(a) =0\\(x+(b)/(2a) )^2=(b^2)/(4a^2) --(c)/(a)=(b^2-4ac)/(2a)`

Take square root

`(x+(b)/(2a) =\sqrt{(b^2-4ac)/(2a) }\\x=(=b+/-√(b^2-4ac) )/(2a)`