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VLD [36.1K]
3 years ago
11

6x²-13x=-6 Solve the equation using the quadratic formula

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

x=2/3, x=3/2

Step-by-step explanation:

6x^2-13x=-6

6x^2-13x+6=0

6x^2-4x-9x+6=0

2x*(3x-2)-3(3x-2)=0

(3x-2)8(2x-3)=0

3x-2=0

2x-3=0

x=2/3

x=3/2

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Bet u can’t solve this
S_A_V [24]

Answer:

Step-by-step explanation:

Assuming you're solving for p:

m=2^{-1} *2^p(2^p-1)

Let y=2^p

Now we can re-write the equation with y instead of 2^p.

m=\frac{1}{2} y(y-1)

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Use the quadratic formula to get:

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Therefore, using natural log and log rules:

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or

2^p = \frac{1-\sqrt{1+8m} }{2}, ln(2^p)= ln(\frac{1-\sqrt{1+8m} }{2}), pln(2) = ln(\frac{1-\sqrt{1+8m} }{2}), p = \frac{ln(\frac{1-\sqrt{1+8m} }{2})}{ln(2)}

If I haven't made any mistakes this should be correct!

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Step-by-step explanation:

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