what is the missing constant term in the perfect square that starts with x 2 16x This problem is about finding c in the quadratic expression ax 2 bx c 0 In order to find c we need to use the following formula C b 2 2 If you notice in the above expression a 1 b 16 and c is unknown Let apply the formula C 16 2 2 8 2 64
X 2 12 x 12 2 2 x 2 12x 36 x 6 2 to complete the square take half the x term s coefficient and square it Half of 12 is 6 square it and it s 6 2 36 Missing constant 100 Step by step explanation perfect square a b 2 a 2 2ab b 2 In this case 20x 2 x 10 and 10 2 100 so x 10 2 x 2 20x 100
what is the missing constant term in the perfect square that starts with x 2 16x
what is the missing constant term in the perfect square that starts with x 2 16x
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Completing The Square To Find The Missing Term YouTube
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38 people found it helpful carlosego For this case we have the following polynomial x 2 6x The missing value to complete the square is given by x 2 6x 6 2 2 Rewriting we have x 2 6x 3 2 x 2 6x 9 The missing constant term to make x 2 6x part of a perfect square is 9 This is given by the formula b 2 2 where b is the coefficient of the x term Thus the perfect square is x 2 6x 9 or x 3 2
Math Calculus questions and answers What is the missing constant term in the perfect square that starts with x 2 16x Your solution s ready to go Our expert help has broken down your problem into an easy to learn solution you can count on See Answer Half is 2 2 1 square it it s still 1 That s the constant term to make x 2 2x into a perfect square x 2 2x 1 You can do this if the squared term has a coefficient of 1 Let s say your started with x 2 8x To get the constant term to make a perfect square just take half of 8 4 and square it to get 16 16 is the constant term
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64 64 Add 64 64 to get the perfect square trinomial x2 16x 64 x 2 16 x 64 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor As there is a square term and a linear term involving x the expression will be completed using the formula We know that a 2 x 2 so Adding 2 2 4 will be added to make the given expression a perfect square Keywords Perfect square polynomials
VIDEO ANSWER In this question we need to find terms that should be added to x square minus 2 x to make it a perfect square So x squared minus 2 x minus 1 equals 0 so a perfect square will be A perfect square is x squared minus 2 x plus 1 Divide the coefficient of x and square it In this case that means that the constant is 10 2 2 25 then X 2 10X 25 X 5 2
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what is the missing constant term in the perfect square that starts with x 2 16x - Math Calculus questions and answers What is the missing constant term in the perfect square that starts with x 2 16x Your solution s ready to go Our expert help has broken down your problem into an easy to learn solution you can count on See Answer