Pls patulong po pasagot po ng maayos

Learning Task 1. Write the following quadratic equations to standard
form. Do this on an intermediate paper,
1.
[tex]6 {x}^{2} = 5x + 3[/tex]

2.
[tex](x + 2)(x + 3) = 0[/tex]

3.
[tex] - 8a + 2{ x }^{2} = - 3[/tex]

4.
[tex]x(x - 3) = 0[/tex]

5.
[tex] {x}^{2} - 18x = 9[/tex]

Learning Task 2. Solve the following quadratic equations using any
possible methods. Write your answer with simple solution on an
intermediate paper.
1.
[tex] {x}^{2} - 25 = 0[/tex]

2.
[tex]6 {x}^{2} - 30x = 0[/tex]

3.
[tex] {x}^{2} + 5x + 6 = 0[/tex]

4.
[tex] {x}^{2} + 11x + 18 = 0[/tex]

5.
[tex]3 {x}^{2} + 7x + 2 = 0[/tex]

Learning Task 3. Identify what variation is shown by the following
problems then solve. Write your answer with solution on an
intermediate paper.
1. If y varies directly as x and y= 32 when x = 4. Find the equation of
variation and the constant of variation.

2. If y varies inversely as x and y=4 when x = 6. Find the equation of
variation and the constant of variation.

3. z varies jointly as x and y. If z = 16 when x = 4 and y = 6, find
value of z when x= 12 and y=4.

4. x varies inversely as z and directly as y. If x = 15, y = 20, and z = 40,
find x when y = 12 and z = 20.

5. If 9 persons require 10 hours to finish the job, how long should it take
for 30 persons to finish the job?

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