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

Answer:

Step-by-step explanation:

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

we can complete the squares

Divide by a to get

$x^2+\frac{bx}{a} +\frac{c}{a} =0$

Complete the square as

$(x+\frac{b}{2a} )^2 -\frac{b^2}{4a^2} -+\frac{c}{a} =0\\(x+\frac{b}{2a} )^2=\frac{b^2}{4a^2} --\frac{c}{a}=\frac{b^2-4ac}{2a}$

Take square root

$(x+\frac{b}{2a} =\sqrt{\frac{b^2-4ac}{2a} }\\x=\frac{=b+/-\sqrt{b^2-4ac} }{2a}$

Answer 2

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.