Jadual Penilaian Sumatif Ting 3 | Quadratic Equation

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Jadual Penilaian Sumatif Ting 3
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  Solving problems involving SOR and POR  Activity 1. Given that α   and β   are the roots of the quadratic equation 2  x   2  + 3  x  + 4 = 0 . Form a quadratic equation with roots 2 α  and 2 β .2. If α   and β   are the roots of the quadratic equation 2  x   2   !  x   1 = 0 form a quadratic equation with roots 3 α  and 3 β .3. Given that α  and β   are the roots of the quadratic equation 2  x   2   3  x  + 4 = 0 . Form a quadratic equation with roots α  1 and β  1 .4. Given that m  and n  are roots of the quadratic equation 2  x 2   3  x   ! = 0 form a quadratic equation which has the roots nm 2 and mn 2 . #$ercise ! 1. If α  and β  are roots of the quadratic equation 2  x 2  + 3  x  + 1 = 0 form a quadratic equationfor the fo%%owin& rootsa. 2 α  and 2 β   '  x 2  + 3x + 2 = 0 ( ). 2 α  + 3 and 2 β  + 3 '  x 2  - 3x + 2 = 0  ( c. 2 α  and 2 β  ' 8x 2  + 6x + 1 = 0  ( d. 2 α  * 1 and 2 β  *  1 '  x 2  - 6x - 5 = 0 ( 2. If α   and β   are the roots of equation 2  x   2   !  x    = 0 form a quadratic equationwith roots 2 α   and 2 β   . ' 03!4  2 =−−  x x  (  3.Given that α   and β   are the roots of the equation 3  x   2  = 4  ,  x   form a quadratic equation with roots 2 α   and 2 β   . ' 01+10!,  2 =+−  x x  (  4.Given m  and n  are the roots of the equation  x   2  + 10  x   2 = 0 form a quadratic equation with roots-a/2 m  + 1 and 2 n  + 1 ' 021 2 =−+  x x ( )/ 3 m  and 3 n   ' 0,302  2 =−−  x x ( 1.Given that α   and 3 α   are the roots of the equation  x   2  + 2 bx  + 3 a  = 0 rove that 4 a  = ) 2  .2.Given one of the root of the quadratic equation  x   2   ! kx  + k   = 0 is four times the other root find the va%ue of k   . ' 41 = k   ( . ne of the roots of the quadratic equation 2  x 2  +   x  = 2 k    1 is twice the va%ue of the other root where)y k   is a constant. Find the roots and the va%ue of k  . ' -1, -2 ; k = 23 − (
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