Match each quadratic equation with the best way to solve it.
1. 5x2 + 12x - 3 = 0
solve by square root method
2. x2 - 4x = 8
solve by factoring
3. 4x2 - 25 = 0
solve by quadratic formula
4. x2 - 5x + 6 = 0
solve by completing the square

5x^2 + 12x -3 =0 > solve by quadratic formula

x^2 -4x = 8          > solve by completing the square

4x^2 -25 = 0        > solve by square root method

x^2-5x+ 6 = 0       > solve by factoring

Step-by-step explanation:

1. 5x^2 + 12x -3 =0

The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.

2. x^2 -4x = 8

The best way to solve this equation is by completing the square as the factors cannot be made directly.

3. 4x^2 -25 = 0

the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.

4. x^2-5x+ 6 = 0

The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for