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Juli2301 [7.4K]
4 years ago
8

How do I find roots from a quadratic equation

Mathematics
1 answer:
Trava [24]4 years ago
6 0

Answer:The roots of any quadratic equation is given by: x = [-b +/- sqrt(-b^2 - 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.

Step-by-step explanation:

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Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>

Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span> 
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
4 years ago
Read 2 more answers
Evaluate<br><br> a. 6!<br><br> b. 8P5<br><br> c. 12C4
erik [133]
I'm pretty sure that the answer is 12C4 = (12p4)/4! = (12*11*10*9)/4*3*2*1 = 495

Hope this helps
4 0
3 years ago
My sisters age is greater than 40 but less than 50. Her age is divisible by 2, 4, 8, and 12. How old is my sister?
Elodia [21]

Answer:

48

Step-by-step explanation:

48 is divisble by all of them

5 0
3 years ago
Read 2 more answers
Make it 0 on one side <br><br> x2 - 2x + = 4(x2-2x +1)-3
Shkiper50 [21]

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

-3x² +6x = 1

-3x² +6x -1 = 0

4 0
3 years ago
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Artyom0805 [142]
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that <u>parallel lines have the same slope.</u> And since Line a's slope is 5/7, and line a and b are parallel to each other, this means that <u>line b's slope is 5/7.</u>

7 0
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