Hi, weekend has come. I think you must watching video like a boss compilation #80 now! I believe seres LIKE A BOSS on my channel will relax you. X 2-(9/10)x = 3/5 Now the clever bit: Take the coefficient of x, which is 9/10, divide by two, giving 9/20, and finally square it giving 81/400 Add 81/400 to both sides of the equation.
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Step 2 Curio pro 13 2013. Your fingers represent the numbers 1 through 10. Ina 103 a 1. |
Step 3
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9
x8
72
Move on to other facts:3.1 8x3 - 10x2 + 9x - 10 is not a perfect cube
3.2 Factoring: 8x3 - 10x2 + 9x - 10
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 9x - 10
Group 2: -10x2 + 8x3
Pull out from each group separately :
Group 1: (9x - 10) • (1)
Group 2: (4x - 5) • (2x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
3.3 Find roots (zeroes) of : F(x) = 8x3 - 10x2 + 9x - 10
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 8 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4 ,8
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test .
| P | Q | P/Q | F(P/Q) | Divisor |
|---|---|---|---|---|
| -1 | 1 | -1.00 | -37.00 | |
| -1 | 2 | -0.50 | -18.00 | |
| -1 | 4 | -0.25 | -13.00 | |
| -1 | 8 | -0.13 | -11.30 | |
| -2 | 1 | -2.00 | -132.00 |
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Note - For tidiness, printing of 15 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
3.4 Polynomial Long Division
Dividing : 8x3 - 10x2 + 9x - 10
('Dividend')
By : 2x - 1 ('Divisor')
| dividend | 8x3 | - | 10x2 | + | 9x | - | 10 |
| - divisor | * 4x2 | 8x3 | - | 4x2 | |||
| remainder | - | 6x2 | + | 9x | - | 10 | |
| - divisor | * -3x1 | - | 6x2 | + | 3x | ||
| remainder | 6x | - | 10 | ||||
| - divisor | * 3x0 | 6x | - | 3 | |||
| remainder | - | 7 |
Quotient : 4x2 - 3x + 3
Remainder : -7
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