Question

Which two equations would be most appropriately solved by using the quadratic formula?

Select each correct answer.

A. (x − 3)^2 = 36

B. 5x^2 + 7x = 15

C. (x + 8)(x + 9) = 0

D. 0.25x^2 + 0.8x − 8 = 0

Answer 1

@Vocaloid

Answer 2

has to be in the form ax^2 + bx + c

which two equations are in this form? remember it must be a trinomial

Answer 3

A and C

Answer 4

please check the answers carefully

there must be an ax^2 term, a bx term, and a c term, so three terms total

Answer 5

take A and C out, the answer is B and D

Answer 6

good

Answer 7

due to my calculation, it shows B and D am i correct ?

Answer 8

Which two equations would be most appropriately solved by using the zero product property?

Select each correct answer.

A. −(x − 1)(x + 9) = 0

B. 3x^2 − 6x = 0

C. 0.25x^2 + 0.8x − 8 = 0

D. 4x² = 13

Answer 9

to user the zero product property you must be able to re-write the equation in the form A*B = 0

Answer 10

B and A

Answer 11

am i correct ?

Answer 12

good

Answer 13

Solve.

8x² + 5 = 35

Round to the nearest hundredth.

Enter your answers in the boxes.

The solutions are approximately _____ and ______.

Answer 14

think about what steps you need to take to isolate x^2

Answer 15

x^2 is to subtract from both sides to get one side equal to = 0.

Answer 16

-1 and 1

Answer 17

nope, check your calculations again

8x² + 5 = 35

start by subtracting 5 from each side

Answer 18

5 - 5 = 0

5 + -5 + 8x2 = 35 + -5

Answer 19

this is the left side of the equation

8x² + 5

this is the right side

35

Answer 20

8x^2 + 5 - 5 = ?

Answer 21

8x^2

Answer 22

good, and the right side is 35 - 5 = 30

so 8x^2 = 30

x = ?

Answer 23

(you will need to round to the nearest hundreth)

Answer 24

round to the nearest hundredth please, 2 decimal places

Answer 25

3.75

Answer 26

your solutions are 1.9365 and -1.9365 what do we get when we round to the nearest 2 decimal places?

Answer 27

we round it and "The nearest hundredth" means that I need to count off 2 decimal places also we have use the thousandths place to determine whether the hundredths place to round up or it will stay the same.

Answer 28

ok, but what numbers do you get when you round 1.9365 and -1.9365 to two decimal places?

Answer 29

1.93

Answer 30

almost, since 6 is > 5 we round up to 1.94 and -1.94 as your solutions

Answer 31

i knew it almost it was 6 and 5

Answer 32

so now my solutions are 1.93 and - 1.94

Answer 33

1.93 and -1.94 or 1.94 and -1.94

Answer 34

1.94 and -1.94

Answer 35

i thought it was 1.93

Answer 36

hint - for the first one you have two things being multiplied and set equal to 0, what property is this?

Answer 37

zeor product property

Answer 38

good

for 4x^2 = 20 we would need to divide by 4 then take the square root, what property is this?

Answer 39

completing the square

Answer 40

no no no

Answer 41

square root

Answer 42

good, square root

Answer 43

thank you so much Vocaloid for all your help, i couldn't done it without you