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
weqwewe [10]
2 years ago
5

How many solutions does x²+3x=3 have?

Mathematics
1 answer:
aev [14]2 years ago
4 0

Answer:

2 (real) solutions.

Step-by-step explanation:

A quadratic always has two solutions, whether they are real or complex.

Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).

In the case of

x^2+3x = 3, or

x² + 3x -3 = 0

we apply the quadratic formula to get

x =  (-3 +/- sqrt(3^2+4(1)(3))/2

to give the two solutions

{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}

both of which are real.

You might be interested in
Sylvia has a circular table cloth. The area of the table cloth is 254.34 in2
yaroslaw [1]

Answer:

The answer is C

Step-by-step explanation:

table with a 10 in radius

7 0
2 years ago
What is the answer?????​
Vlad [161]

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

3 0
3 years ago
16,500 rounded to nearest ten thousand
kari74 [83]

Hi,

16,500 rounded to the nearest ten thousand is 20,000.

Have a great day!

4 0
3 years ago
Read 2 more answers
Find the discriminant and determine the nature of the roots to the quadratic equation
Katen [24]
№17
x^{2} +6x-7=0 \\ D=6 ^{2} -4*(-7)=36+28=64=8 ^{2}  \\  \\  x_{1} = \frac{-6+8}{2} =1 \\  \\  x_{2} = \frac{-6-8}{2} =-7
Answer: x₁ = 1
               x₂ = - 7

№18
2 x^{2} -3x+4=3 \\ 2 x^{2} -3x+4-3=0 \\ 2 x^{2} -3x+1=0 \\  \\ D= -3 ^{2} -4*2=9-8=1 \\  \\  x_{1} = \frac{3+1}{2*2} = \frac{4}{4} =1 \\  \\  x_{2} = \frac{3-1}{2*2} = \frac{2}{4} =0.5
Answer: x₁ = 1
               x₂ = 0,5.

№19
2 x^{2} -4x-5=0 \\  D=-4 ^{2} -4*2*(-5)=16+40=56 \\  \\  x_{1}= \frac{4+ \sqrt{56} }{2*2}  = \frac{4}{4} + \sqrt{ \frac{56}{16} } =1+ \sqrt{3.5}  \\  \\  x_{2} = \frac{4- \sqrt{56} }{2*2} = \frac{4}{4} -  \sqrt{ \frac{56}{16} } =1- \sqrt{3.5} &#10;
Answer: x₁ = 1 + √3.5
               x₂ = 1 - √3.5

3 0
3 years ago
I CANT DLEETE THIS HELP
larisa86 [58]

Answer:

u can not delete it because u already posted it the only way for it to be deleted is if u are reported for what u post then the moderators see it and make it poof

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • The estimated product of 20.7 and 9.18 after rounding both factors to the nearest whole number is
    8·2 answers
  • 1. Solve the shape equation puzzle:<br> = 8<br> =<br> = 15
    14·1 answer
  • PLSSSS!!!! HELP ME PLS!!!! I WILL MARK U!!!!!
    10·1 answer
  • Which of the following is NOT true?
    13·1 answer
  • What is the equation of the line that passes through the point (5, - 7) and has a slope of
    10·2 answers
  • If y = 4x + 0.5, find y when x =1.5
    8·1 answer
  • The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an a
    7·1 answer
  • Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.
    7·1 answer
  • 5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.
    9·1 answer
  • The measure of angle 1 is 102°.<br><br> What is the measure of angle 2?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!