1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mezya [45]
3 years ago
14

98-x2=0 solve this with the quadratic formula

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

             x∈{-7√2, 7√2}

Step-by-step explanation:

98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2

You might be interested in
There 2 strawberry ice cream
Vika [28.1K]

Answer:

A,F,J

Step-by-step explanation:

they are in simplified form and in the correct order

4 0
3 years ago
Read 2 more answers
How do you factorize the algebraic expression [8p³ - 27q³ - 36p²q + 54pq²] using identities?
IceJOKER [234]

Answer:

8p^3 -27q^3 -36p^2q +54pq^2

Step-by-step explanation:

This isn't factorizable???

8 0
2 years ago
−7x = x2 + 12
Inga [223]

-7x = x2 + 12

x2 + 7x + 12 = 0

(x+3)(x+4)=0

x+3=0, x+4=0

x= -3, x= -4

8 0
3 years ago
Read 2 more answers
Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm
miskamm [114]

Answer:

15cm by 20cm by 25cm

Step-by-step explanation:

Let the sides of the right angle be x, y and h

x is the breadth

y is the height

h is the hypotenuse

Perimeter = x + y + h

x + y +h  = 60

x+y = 60-h .... 1

If its area is equal to 150 square cm, then;

Area = 1/2 * base * height

Area = 1/2 *x * y

xy/2 = 150

xy = 300 ....2

According to pythagoras theorem;

x² + y² = h²

On expanding x² + y²

x² + y² = (x+y)² - 2xy

The equation becomes

(x+y)² - 2xy = h² ... 3

Substitute equation 1 and 2 into 3;

From 3;

(x+y)² - 2xy = h² ... 3

(60-h)² - 2(300) = h²

3600-120h + h² - 600 = h²

3600-120h - 600 = 0

-120h = 600-3600

-120h = -3000

h = 3000/120

h = 25cm

Recall that x+y+h = 60

x+y+25 = 60

x+y = 60 - 25

x+y = 35 ... 4

From equation 2;

xy = 300

x = 300/y ..... 5

Substitute 5 into 4;

300/y + y = 35

(300+y²)/y = 35

300+y² = 35y

y²-35y + 300 = 0

y²-20y-15y + 300 = 0

y(y-20)-15(y-20) = 0

y-20 = 0 and y - 15 =0

y = 20 and 15

since x+y = 35

x + 20 = 35

x = 35 - 20

x = 15

Hence the sides of the triangle are 15cm by 20cm by 25cm

8 0
3 years ago
What is (5+5)+10 ???????
Daniel [21]

Answer:

20

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.
    7·2 answers
  • In 10 minutes a heart can beat 700 times at this rate how many minutes will it take it for the heart to beat 140 times
    11·1 answer
  • What is my assignment on here
    9·1 answer
  • Describe how to transform the graph of g(x) = logx into the graph of f(x) = 2 log(4 – x)
    14·1 answer
  • On Sunday, chara ran 6 more miles than he did on Saturday. If he ran m miles on Saturday, which expression represents how many m
    10·1 answer
  • these are the cost and revenue functions for a product line of cat food sold in 70 lb bags at a single pet store based on the fu
    9·1 answer
  • Rational formulas and variations
    9·1 answer
  • Which value for x would make the perimeter of this rectangle equal 48 inches
    7·1 answer
  • Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because
    6·1 answer
  • Make a table for f(x) = 2.5x − 10.5 from 2-6. I just need the numbers
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!