complete the square to solve 4x 2 24x 4 4x 2 24x 4 Step 1 make the coefficient of x as 1 divide both sides by 4 x 6x 1 Step 2 take half of coefficient of x square it and add it to both sides half of 6 is 3 and 3 9 so add 9 to both sides x 6x 9 1 9 x 6x 3 10 x 3 10 now when we take square root we will get both and 10 on right side x 3 10 x
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complete the square to solve 4x 2 24x 4
complete the square to solve 4x 2 24x 4
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Solving The Equation X 2 4x 7 0 By Completing The Square YouTube
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Completing The Square Example Matematyka Szko a Podstawowa Szko a
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4x 24x 4 Before completing the square we require the coefficient of the x term to be 1 divide through by 4 x 6x 1 To complete the square add half the coefficient of the x term to both sides x 2 3 x 9 1 9 x 3 10 take square root of both sides that is Step by step explanation 1 Move all terms to the left side of the equation 4 x 2 24 x 4 Subtract 4 from both sides 4 x 2 24 x 4 4 4 Simplify the expression 4 x 2 24 x 4 0 2 Identify the coefficients Use the standard form of a quadratic equation a x 2 b x c 0 to find the coefficients 4 x 2 24 x 4 0
To complete the square when a is greater than 1 or less than 1 but not equal to 0 divide both sides of the equation by a This is the same as factoring out the value of a from all other terms As an example let s complete the square for this quadratic equation 2x2 12x 7 0 2 x 2 12 x 7 0 a 1 and a 2 so divide all terms Apr 16 2018 x 3 10 Explanation 4x2 24x 4 Factor out the 4 4 x2 6x 4 Complete the square with b 2 2 and add the same to the other side of the equal to sign 4 x2 6x 9 4 36 Factor 4 x 3 2 40 Simplify x 3 2 10 x 3 10 x 3 10 Answer link
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How To Solve Quadratic Equations Using Completing The Square Method
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Solve quadratic equation 4x 2 24x 4 by completing its square Tiger Algebra s step by step solution shows you how to complete the square to solve a quadratic equation Recall the short multiplication formula p q p 2pq q and note that we may apply it backwards to the left hand side of our equation with p x and q 3 We obtain x 3 16 Take the calculate the square root x 3 4 or x 3 4 which gives x 1 and x 7
Subtract 4 from both sides to get 4x 24x 4 0 Divide the entire equation by 4 to simplify x 6x 1 0 To complete the square we need to find a number that when added to x 6x will make it a perfect square trinomial X 2 4x 1 0 x 2 4x 1 adding 1 on both sides of the equation x 2 4x 4 1 4 Adding square of 2 on both sides of the equation x 2 4x 4 3 x 2 2 3 x 2 pm sqrt 3 x sqrt 3 2 or x sqrt 3 2 are the two solution to the quadratic equation above Certainly solving the above problems manually can be time consuming
Completing The Square Formula Your Step by Step Guide Mashup Math
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Solve X 2 4x 4 0 YouTube
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complete the square to solve 4x 2 24x 4 - Apr 16 2018 x 3 10 Explanation 4x2 24x 4 Factor out the 4 4 x2 6x 4 Complete the square with b 2 2 and add the same to the other side of the equal to sign 4 x2 6x 9 4 36 Factor 4 x 3 2 40 Simplify x 3 2 10 x 3 10 x 3 10 Answer link