document.write( "Question 109282: 1. 5(x - 2)^2=3\r
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document.write( "2. Find the x-intercepts. y = x^2 + 3x - 8\r
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document.write( "3. Find the axis of symmetry. \"y = x^2 - 5 + 10\"
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document.write( "4. Solve. (x – 3)^2 = 6
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Algebra.Com's Answer #79673 by stanbon(75887) ![]() You can put this solution on YOUR website! 1. 5(x - 2)^2=3 \n" ); document.write( "Divide both sides by 5 to get: \n" ); document.write( "(x-2)^2 = 3/5 \n" ); document.write( "Take the square root to get: \n" ); document.write( "x-2 = sqrt(3/5) or x-2 = -sqrt(3/5) \n" ); document.write( "x = 2 + (sqrt(15)/5 or x=2-(sqrt(15)/5) \n" ); document.write( "----------------------------------------- \n" ); document.write( "2. Find the x-intercepts. y = x^2 + 3x - 8 \n" ); document.write( "Let y = 0 and solve for x: \n" ); document.write( "x^2+3x-8 = 0 \n" ); document.write( "x = [-3 +- sqrt(9-4*-8)]/2 \n" ); document.write( "x = [-3 +- sqrt(41)]/2 \n" ); document.write( "x = (-3+sqrt(41)] or x = [-3-sqrt(41)] \n" ); document.write( "-------------------- \n" ); document.write( "3. Find the axis of symmetry. \"y = x^2 - 5x + 10\" \n" ); document.write( "x^2-5x+10 = y \n" ); document.write( "x^2-5x+? = y-10+? \n" ); document.write( "x^2-5x+(5/2)^2 = y-10 + (5/2)^2 \n" ); document.write( "(x+(5/2))^2 = y-(15/4) \n" ); document.write( "-------- \n" ); document.write( "Axis of symmetry: x=-5/2 \n" ); document.write( " \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( "4. Solve. (x – 3)^2 = 6 \n" ); document.write( "Comment: Follow the same procedure \n" ); document.write( "used in problem #1. \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |