Question

Find the complex roots for the following quadratic equation by
taking the square root of both sides

(x-6)^2 = -1

Answer #1

Find the roots of the quadratic equation, 3x^2-x=14.

1) Solve the given quadratic equation by using
Completing the Square procedure and by
Quadratic formula ( you must do it both ways).
Show all steps for each method and put your answer in simplest
radical form possible.
4X2 + 4X = 5
2) Which part of the Quadratic Formula can help you to find the
Nature of the roots for the Quadratic Equation. Explain how you can
find the nature of the roots and provide one Example for...

Find the linear, quadratic, and cubic approximations for f(x) =
the square root of (x+1)

Use the Rational Root Theorem to find all possible rational
roots then use Newton’s Method to find one rational root and then
synthetic division and the quadratic formula to find the any
remaining rational, irrational or complex roots.
Px=3x^5-8x^4-17x^3+38x^2+20x-24

1). Consider the quadratic equation
x^2+ 100 x + 1 = 0
(i) Compute approximate roots by solving
x^2 -100 x = 0
(ii) Use the quadratic formula to compute the roots of
equation
(iii) Repeat the computation of the roots but use 3 digit
precision.

find the equation of a tangent line to the curve x = ( square
root of t) / (1+t^2) at t = 4

For the equation 2x^4 - 5x^3 + 10 = 0, find the number of
complex roots and the possible number of real roots

Solve the equation x^2-40x+1=0 using the quadratic formula. Use
five-digit decimal arithmetic to find numerical values for the
roots of the equation; for example, you will need (399)^(1/2)=
19.975. Identify any loss-of-significance error that you
encounter.
(b) Find both roots accurately by using only five-digit decimal
arithmetic.

Given r_1 and r_2 are the roots of the quadratic equation ax^2 +
bx + c = 0,
express (b^2?4ac)/2a in terms of r_1 and r_2. Re-write the
quadratic formula in terms of r_1 + r_2 and
and r_1 ? r_2.

If a quadratic equation with one unknown x^2 + x +c =0
have real root, what is the range of c?

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