0
15x2 - 17x + 4 = 15x2 - 5x - 12x + 4
= 5x(3x - 1) - 4(3x - 1).
= (5x - 4)(3x - 1).
Thus the solution,
when 15x2 - 17x + 4 = (5x - 4)(3x - 1) = 0,
is: x = 4/5 or 1/3.
* * * * *
The technique, in case it is not familiar, is quite simple:
Step 1: Note that the three co-efficients of the given quadratic are 15, -17, and 4.
Step 2: We seek two numbers whose sum and product are -17 and 60.
(Note that 60 is, itself the product of 15 and 4.)
The two numbers we seek are -5 and -12.
Step 3: Replace the middle term, '-17x' with two terms, '-5x' and '-12x'.
Step 4: Continue factorisation easily, as shown. Then, combine like terms.
Step 5: To find solution, apply the following principle: The product of two factors is equal to zero if, and only if, one or other of the two factors is equal to zero.
What else can I help you with?
What is the answer to negative twenty eight plus fifteen y equals seventeen?
3
1 squared plus 1 squared plus 2 squared plus 3 squared plus 5 squared plus 8 squared equals?
104
What plus what plus what plus what equals fifteen?
4,5,6
X squared plus y squared plus z if x equals 7 y equals 6 and z equals 4?
89
What is 6 squared plus eight squared?
6 squared is 36, and 8 squared is 64. Adding these together, 36 + 64 equals 100. Therefore, 6 squared plus 8 squared equals 100.
Who created A squared plus B squared equals C squared?
pythagoras
What is seventeen twelves plus a half equals?
Seventeen twelves = 204 So the answer is 204.5
IF 2 plus 3 equals 10. 7 plus 2 equals 63. 6 plus 5 equals 66. 8 plus 4 equals 96 therefore 9 plus 7 equals?
2 squared plus 2 x 3 = 10, 7 squared plus 7 x 2 = 63, 6 squared plus 6 x 5 = 66,8 squared plus 8 x 4 = 96 so 9 squared plus 9 x 7 = 81 + 63 = 144.
A squared plus b squared equals c squared?
This is the common form of the Pythagorean Theorem. It describes the relationship between the two legs of a right triangle and the hypotenuse.
What is 4100 squared plus b squared equals 14900 squared?
b = 14324.80366
X squared plus 9 squared equals 12 squared?
X = √63
10 squared plus x equals 26 squared?
16
