The discriminant is 0.
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-5x + 13 = -12 -5x = -12 - 13 = -25 x = -25/-5 = 5
4x+9=25 4x+9=25-9 4x/4=1 16/4=4 4x+9=26 4(4)+9=25 16+9=25 The answer is 4
5X + 5 = 25 subtract 5 from each side 5X + 5 - 5 = 25 - 5 5X = 20 divide both sides integers by 5 (5/5)X = 20/5 X = 4 -----------check in original equation by inserting 4 into X place 5(4) + 5 = 25 20 + 5 = 25 25 = 25 -----------checks
Twenty-Five x2 + 10x = 8 x2 + 10x + 25 = 8 + 25 (x + 5)2 = 33
x2 + y2 - 10x + 4y - 52 = 0 x2 - 10x + y2 + 4y = 52 Complete the square (x2 - 10x + 25) + (y2 + 4y + 4) = 52 + 25 + 4 (x - 5)2 + (y + 2)2 = 81 (x - 5)2 + (y - -2)2 = 92 This is the equation of a circle with center (5, -2), and radius 9.