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week 7 chkpoint solution

# week 7 chkpoint solution - 1 Solve 2x2=6 Find the x...

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1. Solve 2x 2 =6. Find the x intercepts of f(x) = 2x 2 -6 x 2. Need exact and approx solutions. (x-8) 2 =25 3. Need exact and possible solutions. Y 2 -10y+25=36 4. Solve X 2 -16x=10 5. X 2 +6x-27=0 6. Solve x 2 +7x-7=0 and find the x intercepts of f(x)=x 2 7x-7 7. If a b ball player has a vertical leap of about 25 inches, what is his hang time? Use the hang time function of v-48 t 2

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Given: V=48t², V = 25 25 = 48t² 25/48 = t² √(25/48) = √t² 0.72168 sec = t 8. X 2 +12x+4=0 x^2+12x+4=0 x=[-12+-sqrt(144-16)]/2=[-12+-sqrt(128… 8*sqrt2]/2=-6+-4sqrt2 x1=-6+4sqrt2 x2=-6-4sqrt2 9. R 2 +3r=3 10. Solve 3x 2 -5x-13=0 and find x intercepts of f(x)=3x 2 -5x-13 3x^2 - 5x - 13 = 0 3x^2 - 5x = 13 x^2 - (5/3)x = 13/3 x^2 - (5/3)x + 25/36 = 13/3 + 25/36 (x - 5/6)^2 = 161/36 x - 5/6 = ± √161/6 x = (5 ± √161)/6 The x-intercepts of f(x) = 3x^2 - 5x - 13 are (5 ± √161)/6. 11. 2(x-4)-(X+2)=(X+2)(X-4) (x+2)(x-4)-2(x-4)=-(x+2) (x-4)[(x+2)-2]=-(x+2) (x-4)x=-(x+2) x^2-4x+x+2=0 x^2-3x+2=0=>(x-2)(x-1)=0 =>x1=2
=>x2=1 12. 1/X + 1/X+16 = 1/15 1/x+1/x=1/15-16 2/x=239/15 239x=30=>x=30/239=>x=0.125 13. X 2 +3X-5=0 The constant term in a complete square is the square of half the x coefficient.

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• Winter '10
• JhoneCaine
• Hypotenuse, double root, /2=-6+-4sqrt2 x1=-6+4sqrt2 x2=-6-4sqrt2, hang time function, perennial border forms

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