caption: The sum of a positive number and its square is 72. Find the number.
exif: {"Image DocumentName": "The sum of a positive number and its square is 72. Find the number.", "Image ImageDescription": "Let x be the number. \uf083 Step 1: Identify the unknown quantity and use a letter, say x, to represent it. \u2234 x + x2 = 72. \uf083 Step 2: Form a quadratic equation according to the given conditions. x2 + x \u2013 72 = 0. (x \u2013 8)(x + 9) = 0. \uf083 Step 3: Solve the equation using the factor method. x \u2013 8 = 0 or x + 9 = 0. x = 8 or x = \u20139. (rejected) \uf083 Step 4: Check whether the solutions are reasonable. x must be positive. \u2234 The number is 8.", "Image XResolution": "200", "Image YResolution": "200", "Image ResolutionUnit": "Pixels/Inch", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}