Date:
(J3 + J11 J2 (3- /112 Semplify the following is
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Answer:
Step-by-step explanation:
1. Solve the following quadratic equations for ‘x’ :-
(i) x x
2 2 50
Use the quadratic formula :-
For an equation of the form Ax Bx C 2 0
x
B B AC
A r 2 4
2
Therefore, for x x
2 2 50
x r uu
u
2 2 415
2 1
2
=
r 2 4 20
2
=
r 2 16
2
=
r u 2 1 16 r
2
24 1
2
( ) By determining the square root of 16 and
bringing it outside the square root term.
Now 1 is denoted by j (this is what we defined !)
Therefore, r 24 1 r
2
2 4
2
() j
So the two answers for ‘x’ are
2 4
2
1 2 j j By dividing every term by a factor of 2
or
2 4
2
1 2
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