5 and 10 because 5x10 = 50 and 5+10 = 15
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
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2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
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3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
This is the concept of trigonometry, the value of the measure of the supplementary angles can be obtained as follows;
supplementary angles sum up to 180 degrees, thus;
(2x+3)+(3x+2)=180
2x+3+3x+2=180
collecting like terms we get:
2x+3x+3+2=180
5x+5=180
5x=180-5
5x=175
thus;
x=175/5
x=35
Thus the value of the angles will be:
3x+2
=35*3+2
=107
the size of the other angle will be:
180-107
=73
Rational numbers. Rational numbers include fractions, while integers dont :)