Question

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answer 1

`\displaystyle x=(-b \± √(b^2-4ac) )/(2a)`

Explanation:

`\displaystyle x+(b)/(2a) =\±(√(b^2-4ac) )/(2a)`

Subtract
`(b)/(2a)` from both sides.

`\displaystyle x+(b)/(2a) -(b)/(2a) =\±(√(b^2-4ac) )/(2a)-(b)/(2a)`

`\displaystyle x=( \± √(b^2-4ac) -b)/(2a)`

`\displaystyle x=(-b \± √(b^2-4ac) )/(2a)`

This is a quadratic formula.

Answer 2

Answer:
`x=(-b\pm √(b^2-4ac))/(2a)`

Explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.