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Dmitry [639]
2 years ago
14

Solve the equation 5x^2-6x-7=0

Mathematics
2 answers:
Zepler [3.9K]2 years ago
8 0

Answer:

x = (3-2√11)/5 ; x= (3+2√11)/5

Step-by-step explanation:

Δ/4 = (b/2)^2 - ac  where b is the term that multiplies x, a is the therm that multiplies x^2 and c is the therm without x

Δ/4 = (-3)^2 - (-7*5) = 9 + 35 = 44 = 2^2 *11

x1 = (3 - √2^2 *11)/5 = (3-2√11)/5

x2 = (3+ √2^2 *11)/5 = (3+2√11)/5

Nataly [62]2 years ago
4 0

Answer:

0.37

Step-by-step explanation:

5x^2-6x-7=0

25x-6x-7=0

19x-7=0

19x=7

0.37

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What is the equation of the line that passes through the point (6,4) and has a slope of -2/3
Aleksandr [31]

Answer:

using the given points substitute it into the equation y=mx+c

therefore

y=4

m=-2/3

X=6

c=?

so we should c=intercept

Step-by-step explanation:

y=mx+c

4=-2/3(6)+c

4=-4+c

c=4+4=8

therefore equation of the graph is y=-2/3X+8

4 0
3 years ago
Which decimal is less than 0.8 and greater than 0.02
nikklg [1K]

Answer:

0.02<x<0.80

0.4

Step-by-step explanation:

0.02 is equal to 2/100 and 0.8 is equal to 80/100

so you could really choose any number between 0.03 and 0.79

4 0
3 years ago
Read 2 more answers
Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000
vesna_86 [32]

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368

mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?

We can figure this out using scientific notation.

0.000000368 - 0.000000064

= 3.04e-7

Put 3.04e-7 in standard notation.

0.00000304

Put 0.00000304 back into scientific notation, instead with a multiply sign.

Move the dot back, making the number in between 1-10.

In this case, we would move it back 7 times.

3.04 · 10x^{-7}

So the answer would be A.

3 0
2 years ago
What are the real roots of 2x^3+9x^2+4x-15=0
klemol [59]
Well, luckily it is apparent that (x-1) is a root because when x=1 the equation is equal to zero.  So we can divide the equation by that factor to find the other roots. 

(2x^3+9x^2+4x-15)/(x-1)
2x^2  r  11x^2+4x-15
11x    r  15x-15
15     r   0

(x-1)(2x^2+11x+15)=0

(x-1)(2x^2+6x+5x+15)=0

(x-1)(2x(x+3)+5(x+3))=0

(x-1)(2x+5)(x+3)=0

So the roots are x= -3, -2.5, 1
8 0
3 years ago
I need help fast...........
Gennadij [26K]
15x - 5(3x-7) = 14
15x - 15x+ 35 = 14
35 = 14 ...NOT TRUE

answer
NO solution

you got it correct
5 0
3 years ago
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