Answer:
see explanation
Step-by-step explanation:
Given
9n² - n - 
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 
Answer:
x = - 6, x = 6
Step-by-step explanation:
Given
x² + 7 = 43 ( subtract 7 from both sides )
x² = 36 ( take the square root of both sides )
x = ± 
= ± 6
Thus
x = - 6, x = 6
Answer:
10
Step-by-step explanation:
6²+8²
=100
√100
=10
Answer:
Step-by-step explanation:
Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!
Step-by-step explanation:
- factorise using AC method
AC= 3 x 2 = 6
find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)
- put them as x in the equation to replace 5x
3x^2 + 2x + 3x + 2
- split the equation in half and expand each side
3x^2+2x | 3x+2
x(3x+2)+1(3x+2)
- put the numbers outside the brackets into a separate bracket
= (x+1)(3x+2)
