The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
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So it's actually 0.36363636... with the 36 repeating, right?
<span>Here's a technique for converting repeating decimals to fractions: </span>
<span>N = 0.3636363636... </span>
<span>100N = 36.36363636... </span>
<span>This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out. </span>
<span>Solving this for N gives </span>
<span>N = 36/99, or 4/11 </span>
<span>If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...</span>
Answer:
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Step-by-step explanation:
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3x(x+3)^2
3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x
answer
3x^3 + 18x^2 + 27x
