Question

8. Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth

x^2-12=-4x

Answer 1

Lesson 7:Quadratic function and equation unit test connexus impower

Explanation:

1.B

2.c=it is shifted 4 units down

3.b=160.56m

4.c= y=-7x+9

5.c=two solutions

6.a=one solution

7.A=linear

8.d=2.30 seconds

9.c= reaches a maximum height of 549 feet after 5.75 seconds

10.a=two solutions: x=-10,2

11.b= there are two solutions:x=+3

12.c= -1/3 and -5

13.c= x=-5,2

14.c= 5m

15.c= -6,2

Go off of the answers not the (a,b,c,d) they might change it up.

Answer 2

x² - 12 = -4x

x² +4x - 12 = 0

a = 1
b = 4
c = -12

Δ = b² - 4(a)(c)

Δ = 4² - 4(1)(-12)

Δ = 16 + 48

Δ = 64

x' = (-b + √Δ) / 2a

x' = (-4+ √64) / 2(1)

x' = (-4+8) / 2

x' = 4 / 2

x' = 2

____________________

x'' = (-b - √Δ) / 2a

x'' = (-4-8) / 2

x'' = -12 / 2

x'' = -6

Solution ⇒ S{-6 ; 2 }

x² + 4x - 12 = (x+6)(x-2)