Find all possible value of the given variable 1.h²+5h=0
2.z²-z=0
3.m²+13m+40=0
4.z²-3z=0
5.q²+7q=0
6.k²+2k=0
7.x²-3x-70=0
8.q²+7q-60=0
9.z²+9z-36=0
10.d²-13d+22=0

Answers

Answer 1

Answer: $1.\n \n h^2+5h=0 \n \nh(x+5)=0\n \nx=0 \ \ \ or \ \ \ x+5 =0\ \ |-5\n \nx+5-5=0-5\n \nx=0 \ \ \ or \ \ \ x=-5$

$2.\n \n z^2-z=0\n \nz(x-1)=0\n \nz=0 \ \ \ or \ \ \ z-1 =0 \ \ | +1\n \nz-1+1 =0 +1 \n \nx=0 \ \ \ or \ \ \ z=1$

$3.\n \nm^2+13m+40=0 \n \na=1 ,\ b=13, \ c=40 \n \n\Delta =b^2-4ac =13^2-4\cdot 1\cdot 40=169 - 1600=-1431 \n \nand \ we \ know \ when \ \Delta \ is \ negative, \ theres \ no \solution$

$4.\n \nz^2-3z=0 \n \n (z-3)=0\n \nz=0 \ \ \ or \ \ \ z-3 =0\ \ |+3\n \n z-3+3=0+3\n \nz=0 \ \ \ or \ \ \ z=3$

$5.\n \nq^2+7q=0 \n \nq(q+7)=0\n \nq=0 \ \ \ or \ \ \ q+7 =0\ \ |-7\n \nq+7-7=0-7\n \nq=0 \ \ \ or \ \ \ q=-7$

$6.\n \nk^2+2k=0\n \nk(k+2)=0\n \nk=0 \ \ \ or \ \ \ k+2 =0\ \ |-2\n \nk+2-2=0-2\n \nk=0 \ \ \ or \ \ \ k=-2$

$7. \n \n x^2-3x-70=0 \n \na=1,\ b=-3, \ c=-70 \n \n\Delta =b^2-4ac = (-3)^2-4\cdot 1\cdot (-70)= 9+280=289\n \n x_(1)=(-b-√(\Delta) )/(2a)=(3-√(289))/(2 )=( 3-17)/(2)=(-14)/(2)=-7$

$x_(2)=(-b+√(\Delta) )/(2a)=(3+√(289))/(2 )=( 3+17)/(2)=(20)/(2)=10\n \n(x+7)(x-10)=0$

$8.\n \nq^2+7q-60=0 \n \na=1,\ b=7, \ q=-60 \n \n\Delta =b^2-4ac = 7^2-4\cdot 1\cdot (-60)=49+240=289 \n \n x_(1)=(-b-√(\Delta) )/(2a)=(-7-√(289))/(2 )=( -7-17)/(2)=(-24)/(2)=-12$

$x_(2)=(-b+√(\Delta) )/(2a)=(-7+√(289))/(2 )=( -7+17)/(2)=( 10)/(2)= 5\n \n(x+12)(x-5)=0$

$9.\n \nz^2+9z-36=0 \n \na=1,\ b=9, \ q=-36 \n \n\Delta =b^2-4ac = 9^2-4\cdot 1\cdot (-36)= 81+144=225\n \n x_(1)=(-b-√(\Delta) )/(2a)=(-9-√(225))/(2 )=( -9-15)/(2)=(-24)/(2)=-12$

$x_(2)=(-b+√(\Delta) )/(2a)=(-9+√(225))/(2 )=( -9+15)/(2)=(6)/(2)=3\n \n(x+11)(x-3)=0$

$10.\n \nd^2-13d+22=0 \n \na=1,\ b=-13, \ q=22 \n \n\Delta =b^2-4ac = (-13)^2-4\cdot 1\cdot 22= 169-88=81\n \n d_(1)=(-b-√(\Delta) )/(2a)=(13-√(81))/(2 )=( 13-9)/(2)=(4)/(2)=2$

$d_(2)=(-b+√(\Delta) )/(2a)=(13+√(81))/(2 )=( 13+9)/(2)=(22)/(2)=11\n \n(d-2)(d-11)=0$

Related Questions

What is 0.8 to the second power
At the car wash fundraiser jenna's team washed 14 cars in 45 minutes. if they keep up at that rate, how many cars can the team wash in 2.5 hours? how did you get the answer
How do you make zero pairs ?
What number is between 1 and 20 and has 5 factors?
What is the approximate perimeter of a semicircle with a radius of 8 m?Use = 3.14. Express your final answer to the nearest hundredth

What is the surface area of a prism that is 9in 3in 13in

Answers

Surface area is (3*13)*2+ (3*9)*2+(9*13)*2 = 366 in 2

The volume of a box is 400in3. if the height is 10in and the length is 8in, what is the width of the box (volume=l•w•h) 5in,
10in,
17in,
or 22in?

Answers

10•8=80
so something times 80 will equal 400
80•5=400

Adam can eat 3/8 of a pizza in 1/16 of a muinite complete the unit rate by setting up a complex fraction and simplifying Answers A) 1 pizza per minute B) 3 Pizza per minute C) 6 Pizza per minute D) 9 Pizza per minute Answer correctly and i will give away a giftcard

Answers

don’t trust me, but i think c i had this question last week but i don’t remember the answer

A triangle has a height of 18 centimeters and a base of 3.5 centimeters. What is the area of the triangle?

Answers

Answer:

31.5 cm^2

Step-by-step explanation:

The formula for the area of a triangle is 1/2 x (b x h)

in the provided question -

b = 3.5 cm

h = 18cm

thus the area of the triangle will be -

1/2 x (3.5 x 18)

= 1/2 x 63

= 31.5 cm^2

I need help on 13-26 please

Answers

13. 10% of 40
= 40 × 0.10 = 4

14. 12% of 100
= 100 × .12 = 12

15. 99% of 60
= 60 × .99 = 59.4

16. 100% of 81
= 81 × 1 = 81

17. 45% of 360
= 360 × .45 = 162

18. 55% of 1,024
= 1024 × .55 = 563.2

19. 45 + n = 97
n = 97 - 45 = 52

20. n - 18 = 100
n = 100 + 18 = 118

21. n - 72 = 91
n = 91 + 72 = 163

22. n + 23 = 55
n = 55 - 23 = 32

23. 5 × t = 105
t = 105 ÷ 5 = 21

24. b ÷ 13 = 8
b = 8 × 13 = 104

25. k × 18 = 90
k = 90 ÷ 18 = 5

26. d ÷ 7 = 8
d = 8 × 7 = 56

47 - 3 times the difference of 15 and 2