How Do You Write A Quadratic Equation In Standard For. And Solve Using The Quadratic Formula?
Answer:
The standard form of a quadratic equation is
ax^2 + bx + c = 0
The quadratic formula is
x = (-b ±√(b^2-4*a*c))/(2*a)
Example
Suppose you have the equation
3x(x+2) = 5
This can be put into standard form by using the distributive property on the left side, and subtracting 5 from both sides.
3x^2 + 6x - 5 = 0
By matching coefficients, we see that a=3, b=6, c=-5. We substitute these values into the quadratic formula to receive
x = (-6 ±√(6^2-4*3*(-5)))/(2*3)
x = (-6 ±√(36 + 60))/6
x = (-6 ±√96)/6
x = -1 ± (2/3)√6
Resolved Questions:
(y-3)squared + (x-3)squared = 121X=? Y=?
Your equation describes a circle of radius 11 centered at (3, 3). An infinite number of values of x and y will satisfy the equation. Two of the possible solutions are ... (x, y) = (3, 14) (x, y) = (14, 3)
Can You Solve By Factoring 5t^2-10t=0?
Show each step 5t^2-10t=0 5t (t-2) =0 Now, if t-2=0 then t=2 And if or 5t=0 then t=0
Where Can I Create Free Inequality Worksheets?
There are a lot of pre-made worksheets here. I hope this helps