Solve a Quadratic Equation by COMPLETING THE SQUARE. To determine when the height of the ball is 336 feet. The distance along the ground from the bottom of the pole to the end of the wire is 4 feet greater than the height where the wire is attached to the pole. How far up the pole does the guy wire reach?Įxample 4: You throw a ball straight up from a rooftop 384 feet high with an initial speed of 3 feet per second. The functionĭescribes the height of the ball above the ground, s (t), in feet, t seconds after you threw it. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Substitute the values a 1 a 1, b 4 b - 4, and c 3 c 3 into the quadratic formula and solve for x x. Use the quadratic formula to find the solutions. See examples of using the formula to solve a variety of equations. Solve Using the Quadratic Formula x2-4x+30. Then, we plug these coefficients in the formula: (-b (b-4ac))/ (2a). Casio FX-991ES PLUS Quadratic Equation Solve Calculator Display Screenshot Quadratic Equation Solve fx-991EX Obtain a, b and c from the equation. First, we bring the equation to the form ax+bx+c0, where a, b, and c are coefficients. Eliminate any unreasonable answers.Įxample 2: Each side of a square is lengthened by 7 inches. The area of this new larger square is 81 square inches. Find the length of a side of the original square.Įxample 3: A guy wire is attached to a tree to help it grow straight. The length of the wire is 2 feet greater than the distance from the base of the tree to the stake. The height of the wooden part of the tree is 1 foot greater than the distance from the base of the tree to the stake.Įxample 5: A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The quadratic formula helps us solve any quadratic equation. Step 6: Set each factor equal to 0. And solve the linear equation. Step 4: Write the equation in standard form. Substitute the given information to the equation. Step 3: Determine if there is a special formula needed. Step 1: Draw and label a picture if necessary. ![]() By checking the value of discriminant before using. Įxample 1: A vacant rectangular lot is being turned into a community vegetable garden measuring 8 meters by 12 meters. A path of uniform width is to surround garden. If the area of the lot is 140 square meters, find the width of the path surrounding the garden. Solution: The discriminant of quadratic equation ax2 + bx + c 0 is given by the expression D (b2 - 4ac). of carpet.)Īrea of a rectangle and Landscaping/border/frame problems. Set each factor equal to 0. And solve the linear equation. Substitute the given information into the equation.Ħ. Determine if there is a special formula needed. Steps for solving Quadratic application problems:ġ.
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