All categories

3 years ago

Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.

1 answer:

ozzi3 years ago

4 0

Work backward: Multiply out (x-8i) and (x+8i).

The product is x^2 - [64i^2], or x^2 - [-64], or x^2 + 64

This is equivalent to 1x^2 + 0x + 64, and so a=1, b=0 and c=64.

You might be interested in

Pls help i don’t know how to do this

algol [13]

Answer: $\displaystyle\\\frac{2\pi }{3},\ \frac{5\pi }{3} .$

Step-by-step explanation:

$\displaystyle\\tan\theta=-\sqrt{3}\ \ \ \ 0\leq \theta\leq 2\pi \\\theta =\frac{2\pi }{3}+\pi N\ \ \ (N=0,\ 1,\ 2,\ 3\ ...)\\ N=0\\\theta=\frac{2\pi }{3} +\pi *0\\\theta=\frac{2\pi }{3}\ \ \ \ ( 0\leq \theta\leq 2\pi)\\ N=1\\\theta=\frac{2\pi }{3}+\pi *1 \\\theta=\frac{2\pi }{3} +\pi \\\theta=\frac{2\pi +3\pi }{3} \\\theta=\frac{5\pi }{3} \ \ \ ( 0\leq \theta\leq 2\pi)\\$

$N=2\\\theta=\frac{2\pi }{3}+2\pi \\ \theta=\frac{2\pi +3*2\pi }{3}\\ \theta=\frac{2\pi +6\pi }{3} \\\theta=\frac{8\pi }{3} \\\theta=2\frac{2}{3} \pi \ \ \ \ (\notin0\leq \theta\leq 2\pi).\\$

6 0

1 year ago

What factors does 2 have?

Vanyuwa [196]

Answer:

2 and 1

Step-by-step explanation:

2 only has the factors 2 and 1 because it is a prime number.

4 0

3 years ago

ANSWERS QUICKLY PLEASE

marshall27 [118]

It’s an irrational number (can’t be expressed as a fraction with two integers).

7 0

3 years ago

Find the area of the trapezoid shown.<br><br> 56 sq. units<br> 56√3 sq. units<br> 112 sq. units

kolbaska11 [484]

Answer: A.56 sq. units

Step-by-step explanation:

A=( a+b)h/2

(12+16)4/2

(28)2

A=56

5 0

2 years ago

Read 2 more answers

What is a irregular concave polygon

Anvisha [2.4K]

Answer:

An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.

Step-by-step explanation:

3 0

3 years ago

Find the values of​ a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.

Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and −8i.