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s344n2d4d5 [400]
3 years ago
10

Help please!!!!!!!!!!!!​

Mathematics
2 answers:
dmitriy555 [2]3 years ago
6 0

Answer: D

Step-by-step explanation:

Multiply both sides by 4

just olya [345]3 years ago
6 0

Answer:

the answer is D

Step-by-step explanation:

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Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro
topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation ax^2+bx+c=0:

\Delta=b^2-4ac

If Δ < 0, then the equation has two complex roots x=\dfrac{-b\pm\sqrt\Delta}{2a}

If Δ = 0, then the equation has one repeated root x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}

1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56

3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================

5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28

7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}

6 0
3 years ago
Read 2 more answers
Percent of change 125 is increased to 200
Montano1993 [528]

Answer:

60

Step-by-Step Explanation:

(200-125):125*100 =

(200:125-1)*100 =

160-100 = 60

Now we have: What is the percentage increase/decrease from 125 to 200 = 60

6 0
2 years ago
Read 2 more answers
Classify the following triangle. Check all that apply
kramer
D and E. If I remember right that should be the answer.
7 0
3 years ago
Read 2 more answers
Someone help and please make sure the answer is right
lord [1]

Answer:

it's 12

Step-by-step explanation:

5(12) =60

60+17=77

8 0
3 years ago
1.1<br>Solve the following equations:<br>1.1.1 (x+5)(x-3)=33​
schepotkina [342]

Step-by-step explanation:

x²-3x +5x -15=33

x²-3x+5x=33+15

x²-3x+5x=48

x²+2x=48

divide both sides by 2

x²+x =24

x²= 24

x= ✓24

dunno from here

8 0
3 years ago
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