9514 1404 393
Answer:
23) x = ±3i, ±√2
26) x = 4/3, (-2/3)(1 ± i√3)
Step-by-step explanation:
23) Put in standard form to make factoring easier.
x^4 +7x^2 -18 = 0
(x^2 +9)(x^2 -2) = 0 . . . . factors in integers
Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:
(x -3i)(x +3i)(x -√2)(x +√2) = 0
x = ±3i, ±√2
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26) This will be the difference of cubes after you remove the common factor.
81x^3 -192 = 0
3(27x^3 -64) = 0
(3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes
The complex roots of the quadratic can be found using the quadratic formula.
x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)
Then the three solutions to the equation are ...
x = 4/3, (-2/3)(1 ± i√3)
UV is a <u>perpendicular</u> <u>bisector</u> of RT. A perpendicular bisector UV is a line that does two things:
- cuts the line segment RT into two equal pieces or bisects it;
- makes a right angle with the line segment RT (is perpendicular).
Consider an arbitrary point X on the line RT that differs from S. Connect points U, V and X to form triangle UVX. Line XS will be the height and the median of the triangle UVX. This gives you that triangle UVX will be isosceles triangle with base UV.
Answer: correct choice is D
If you mean like half then 31?
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