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Could someone help me with this by following the instructions written? 2x2+2y2l6x+4y+20=0 x2+y28x+2y+1020 To complete the square: 1. Represent the equation using algebra tiles. 2.
Could someone help me with this by following the instructions written?
2x2+2y2l6x+4y+20=0 x2+y28x+2y+1020 To complete the square: 1. Represent the equation using algebra tiles. 2. Move the units to the other side using inverse x2 8x + y2 + 2y : 10 operations. 3. Create a square for each variable. x2 _ 8x+ 16 + yz + 2), +1 : _10+ 16 +1 4. Complete each square by adding units to both sides. 5. Flewrite the equation in squared terms. (x 4)2 + Cy + 1>2 : 7 Equation of a Circle in Standard Form: r2 : (xh)2+ (y '02 Center: (4,1) Radius: J77 t 2.6 Standard to General Example Equation of a Circle in General Form: 2 2 : Example 17: Find the general form of the equation Ax + Cx + Dy + By +F D of the circle with radius 6 and center at ( 2. 5). Video Solution: (x II): + (y - if)3 : (Hair Myer = ~ (x+2)1+(y5)1='- xz+4x+4+y210y+25:36 xz+yl+4x710y736+4+25=0 x1 +y2 +4x10y7=O Tuesday: 3.18 Completing the Square x2 + 8x + 2=22 Complete the square to rewrite the quadratic equation below as a perfect square. Algebra Tiles To complete the square: 1. Represent the equation using algebra tiles. 2. Move the units to the other side using inverse operations. 3. Create a square for each variable. Vi Submit 4. Complete each square by adding units to both sides. 5. Rewrite the equation in squared terms. T XEssential Understanding We can use algebra tiles as a concrete representation of General to Standard Example quadratic relationships. 10. Write the standard equation of the circle. Algebra Tiles State the center & radius. 2x2 + 2y2 - 16x + 4y +20=0 To complete the square: x2 + y2 - 8x + 2y+10=0 1. Represent the equation using algebra tiles. 2. Move the units to the other side using inverse x2 - 8x + y2 + 2y =-10 operations. 3. Create a square for each variable. x2 - 8x +16 + y2+2y+1 =-10+16+1 4. Complete each square by adding units to both sides. 5. Rewrite the equation in squared terms. (x - 4) + (y+ 1) =7 Equation of a Circle in Standard Form: 12 = ( x - 1 ) 2+ ( x - * ) 2 Center : (4,-1) Radius : V7 = 2.6 Standard to General Example Equation of a Circle in General Form: Ax " + Cx + Dy + Ey + F=0 Example 17: Find the general form of the equation of the circle with radius 6 and center at (- 2, 5). Video Solution: (x - h)+ (v-k)=1 (x - (-2))2 + (1-5)? =62 (x+ 2)2 + (1-5)? =36Wednesday: 3.19 Completing the Square Day 2 x2 +y2 + 4x _ 2y _ 4 = 0 Rewrite the equation in standard form. then identify the radius and the center. ' / T f I! 0' Equation: Center: RadiusStep by Step Solution
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