SOLUTION: solve the questions give below by factorization (1)3x2+x=1 (2)4x2+9=12x (3)5x(x+2)=4(3x=1) (4)2x+7=x2 (5)x2-3x=3x=7 (6)3(4x-1)=x2

Question 2598: solve the questions give below by factorization
(1)3x2+x=1 (2)4x2+9=12x (3)5x(x+2)=4(3x=1) (4)2x+7=x2 (5)x2-3x=3x=7 (6)3(4x-1)=x2
Found 2 solutions by longjonsilver, kiru_khandelwal:
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
by pure factorisation?

1) cannot be factorised easily. You would have to do the "complete the square" method.

2)
(2x - 3)(2x - 3) = 0
so 2x-3 = 0
2x = 3
x = 3/2

3) 5x(x+2) = 4(3x+1) --> + or - on the last term, seeing as you have "="?

this does not factorise easily. Again, do you want the "complete the square" method?

4)

Same as 3).

5) Again you have 2 "=" signs..which is wrong?

6)

Again this does not factorise easily.

jon.

Answer by kiru_khandelwal(79) (Show Source): You can put this solution on YOUR website!
4x2 + 9 = 12x
=> 4x2 - 12x + 9 = 0
Now the equation is of the form
ax2 + bx + c = 0
Multiply a and c.....and factorize the product 'ac' such that the sum of the factors is b
In our case a=4 b = -12 and c = 9
a*c = 4*9 = 36
Now we have to split 36 into factors whose sum is -12
so 36 = (-6)*(-6)
and sum of -6 and -6 is -12
therefore,
4x2 -12x + 9 =0 can be written as
4x2 -6x -6x + 9 = 0
=> 2x(2x-3)-3(2x-3)=0
=> Taking the common factore (2x-3) out
=> (2x-3)(2x-3)=0
According to the zero product factor....
2x-3 = 0
=> x = 3/2
Similarly others can be solved
RELATED QUESTIONS
Solve by Factorization 1. x2 - 13x + 30 = 0 2. 2x2 - 3x = 2 3. 3x2 - 7x - 6 = 0 (answered by Alan3354)
1b. 8xy / (24x /4) 1d. (3a - 6 / 6a +12) X (3a2 - 12 / a2 - 5a +6) 1c. (x - 7 /... (answered by solver91311)
Divide using synthetic division. 23.(x3 � 4x2 + x � 5) � (x + 2) x � 6x + 13, R (answered by Mathtut)
Evaluate the function at the given value of the independent variable and simplify.... (answered by Alan3354,lynnlo)
Complete the square. 1. x2 + 60x + 2. x2 � 7x + Solve each... (answered by solver91311)
Would you check my answers on these problems please & correct if need be? Thank you so... (answered by stanbon)
5. x2+4x+3 6. x2+6x-2 10. 3x2+4x-5 14.... (answered by stanbon)
Factor each of the following. 1) a2-9 2) 4a2-4a+1 3) y2+16y+64 4) 81r2 -36rs +4s2 5) (answered by Abbey)