File name: Completing The Square Questions And Answers Pdf
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Georgina rewrites the expression x2 + px + q by completing the square. He correctly obtains (x - 5)2 + Work out the values of p and q. p = and q = .. 6. Write x2 - 3x + 7 . • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • . Read each question carefully before you begin answering it. Check your answers seem right. 1. Work out the values of a and b such that. = .. 2. Write x2 + 4x + 20 in the . Solve each equation by completing the square. x 2 - 8 x + 15 = 0. Find the vertex of each parabola by completing the square. State if the vertex is a maximum or minimum point [remember: the vertex of a parabola in vertex form is (h,k) ] = -3t2 + 30t + 73, where ‘h’ is the height in meters and ‘t’ is the time in seconds. What is the maximum height of the rocket?. Question 4: Solve the following equations (use completing the square). Question 5: By using completing the square to solve ax2 + bx + c = 0, prove the quadratic formula. Question 6: Can you spot any mistakes?.
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