12x2-5x-25=0?

Answer 1

12x² - 5x - 25 = 0

By the quadratic formula,
x = { 5 ± √[(-5)² - 4(12)(-25)] } / 2(12)
x = { 5 ± √[25 + 1200] } / 24
x = { 5 ± √1225 } / 24
x = { 5 ± 35 } / 24
x = 40 / 24 = 5 / 3 or x = -30 / 24 = -5 / 4.

By factoring,
12x² - 5x - 25 = 0
(4x + 5)(3x - 5) = 0
4x + 5 = 0 or 3x - 5 = 0
4x = -5 or 3x = 5
x = -5 / 4 or x = 5 / 3.

By completing a square,
12x² - 5x - 25 = 0
12x² - 5x = 25 [Divide by 12]
x² + (-5 / 12)x = 25 / 12
x² + (-5 / 12)x + 25 / 576 = 25 / 12 + 25 / 576
[x - (5 / 24)]² = 25(48) / 12(48) + 25 / 576
[x - (5 / 24)]² = 1200 / 576 + 25 / 576
[x - (5 / 24)]² = 1225 / 576
√[x - (5 / 24)]² = √(1225 / 576)
| x - (5 / 24) | = √1225 / √576
±[x - (5 / 24)] = 35 / 24
x - (5 / 24) = ±35 / 24
x = 5 / 24 ± 35 / 24
x = (5 ± 35) / 24
x = 40 / 24 = 5 / 3 or x = -30 / 24 = -5 / 4.

Every way I try, I get two answers...
x = 5 / 3, or
x = -5 / 4.

Answer 2

As the equation is written, the answer is a negative 605. That is because the order in which calculations are made are (1) Multiply, (2) Divide, (3) Add and (4) Subrtact. Since there are no parenthese to indiacte any other order for solving this equation, you would first multiply 12 X 2 X -25 which gives -600. Then add the value of a negative 5 to the negative 600 giving a negative 605.

Answer 3

a million) i ingredient its mistake in first 2)12x^2-5x=4x-3 =>12x^2-9x+3=0 x=9+/-sqrt(80 one-100 and forty four)/24 it is an imaginary and genuine root 3)8x^2-30=3x^2+ninety 5 =>5x^2=100 twenty 5 =>x=5 i.e. 2 equivalent and genuine roots

Answer 4

12x+2-5x-25=0
7x+2-25=0
7x-23=0
+23 +23
7x=23

divide 7 into 23 to get x

Answer 5

x=-1/5
or converted to a decimal
x=-0.2

Unless that was supposed to be 12x^2

order of ops here
12x2-5x+25=0

12x2=24

24-5x+25=0

-5x+25=-24

-5x=1

x=1/-5

Answer 6

i got the same answers as louise by factoring:
12x^2-5x-25
(4x+5)(3x-5)=0
(4x+5)=0 (3x-5)=0
then solve for x
x=-5/4 x=5/3

Answer 7

I got -0.2 as the answer.
I don't know where all those other answers are coming from, I'm just going to vote for -0.2.
This is funny -- let's make the answer with the most votes the winner, and we will solve math by pure Democracy.

Answer 8

x= -.2

Answer 9

12x2 - 5x -25=0
24 -5x=25
-5x=1
x=-0.2

Answer 10

-475