Factorise:
(b) 9 x2
- 3x – 9
Answers
Answer:
9x2-3x-9=0
Two solutions were found :
x =(1-√37)/6=-0.847
x =(1+√37)/6= 1.180
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(32x2 - 3x) - 9 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
9x2 - 3x - 9 = 3 • (3x2 - x - 3)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - x - 3
The first term is, 3x2 its coefficient is 3 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 3 • -3 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -1 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 3 :
3 • (3x2 - x - 3) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 3 = 0
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