All categories

3 years ago

What are some solution(s) to the quadratic equation 40 - x^2 = 0

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

x = ± 2 $\sqrt{10}$

Step-by-step explanation:

given

40 - x² = 0 ( add x² to both sides )

40 = x² or

x² = 40 ( take the square root of both sides )

x = ± $\sqrt{40}$ = ± $\sqrt{4(10)}$ = ± 2 $\sqrt{10}$

You might be interested in

13. Describe and correct the error in finding the product.

Blizzard [7]

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

4 0

3 years ago

PLZ HELP ME ASAP PLZ PLZ PLZ!!!!! I NEED LOTS OF HELP!!! I USED 40 POINTS

cupoosta [38]

First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, $\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}$

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
$\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=$
$\frac{b^2}{a^2}=\frac{84}{525}=$
$\frac{b^2}{a^2}=\frac{4}{25}$
square root both sides
$\frac{b}{a}=\frac{2}{5}$

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true

sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7

6 0

3 years ago

Please help me im almost done!

kumpel [21]

Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

8 0

3 years ago

Witch mixed number shows the result of 89 divided by 35

KATRIN_1 [288]

Answer:

89/35 = 2 and 19/35

Step-by-step explanation:

7 0

3 years ago

The product of 5 and a number is at least 20.

svp [43]

Answer:

Step-by-step explanation:

the answer is 5x $\geq$ 20

8 0

3 years ago