Question

Sarah wants to hang a mirror in her room but the mirror and frame must not have an area larger than 15 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation represents the area of the mirror and frame combined? (The frame must have equal width of x on each side.)

Answer 1

a. 3x2 + 14x − 2 = 0

b. 4x2 + 14x − 3 = 0

c. x2 + 12x − 14 = 0

d. 2x2 + 7x − 14 = 0

Answer 2

For a,b,c,d are you suppose to factor

Answer 3

@iamlegend I'm not sure, if it's easier, why not

Answer 4

if it doesn't say i'm going to assume solving by factoring, quadratic formula, or solutions

Answer 5

@iamlegend okay

Answer 6

one sec, be right back

Answer 7

ok, srry about that

Answer 8

so for (a). you can use quadratic formula
Step 1:- A = 1, B = 5 and C = -6
Step 2:- D = b2 -4ac,
Step 3:- D= 5x2 – 4 * 6,
Step 4:- D= 25 – 24,
Step 5:- D = 1,
since D>0, So
x1 = (-2),
x2 = (-3),
The factors are (x + 2), (x + 3).
Answer = (x + 2), (x + 3).
understand?

Answer 9

Use factoring or quadratic formula for b,c,d as well, and let me know if you need help.

Answer 10

I think so, would it be C?

Answer 11

would what be C? that was for problem (a)

Answer 12

the answer would be c, right? c is x2 + 12x − 14 = 0

Answer 13

correct

Answer 14

really?! thank you!

Answer 15

your welcome