Answer:
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Step-by-step explanation:
We use similar triangles to get
16
15
25
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x = 3
Let's solve your equation step-by-step.
5x + 11 = -3x +35
Add 3x to both sides.
5x + 11 + 3x = -3x + 35 + 3x
8x + 11 = 35
Subtract 11 from both sides.
8x + 11 - 11 = 35 - 11
8x = 24
Divide both sides by 8.
So therefore, that is how you found your answer: x = 3
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
-8
x+x+1= -15
2x+1=-15 (group the x's together)
2x= -14 (move the 1 to the right side)
x= -7
(-7)+(-8) = -15
-8 is the smaller integer