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likoan [24]
3 years ago
15

X^2 -25 =0. Factor and use the zero product property to solve.

Mathematics
2 answers:
Gwar [14]3 years ago
7 0
X^2 - 25 is a difference of squares which has a special factorization.

In general, a^2 - b^2 = (a + b)(a - b)

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x + 5 = 0  or   x - 5 = 0

x = -5   or   x = 5
galina1969 [7]3 years ago
7 0
Ax^2 + bx + c = 0

a = 1, b = 0, c = -25

Quadratic formula:
x = {-b +/- sqrt(b^2 - 4ac)} / 2a

x = {0 +/- sqrt(0 - 4(1)(-25))} / 2(1)

x = +/- sqrt(100) / 2

x = +/- 10/2

x = +/- 5

Factored: (x - 5)(x + 5)
Solutions: 5 and -5
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The question is "the polynomial is even & positive, does it have 3 or 4 zeros?
sergejj [24]
Even function is symmetrical about the y axis
not sure what it means if the polynomial is positive

the zeroes are how many times it hits the x axis
it hits 4 times so 4 zeros
4 0
3 years ago
Read 2 more answers
8х + 5у = -7<br> — 7х + бу = — 4
Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0
3 years ago
Change the following quantity into the indicated unit.
mafiozo [28]

Answer:

11.8 in.

Step-by-step explanation:

8 0
3 years ago
I need help asap :):):)
KiRa [710]

Answer:

24 ÷ 4

Step-by-step explanation:

Putting something into fourths is putting into 4 parts. If you divide 24 by 4 you get 6. 6 equals 1/4 of 24. To check your work add 6 together 4 times.

7 0
3 years ago
Read 2 more answers
The sum of Jada and Sophie's ages is, at most, 18. Sophie is 3 years older than twice Jada's age. Write an inequality model Jada
liq [111]

Answer:

Step-by-step explanation:

s=2j+3\\ \\ j+s\le 18\\ \\ j+2j+3\le 18\\ \\ 3j+3\le 18\\ \\ 3j\le 15\\ \\ j\le 5\\ \\ \text{Though j=5 is the only solution to both equations.}

5 0
2 years ago
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