Maths - Quadratic Equations
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Step-by-step explanation:
17a^2-2a+10=10a^2+2a+7
Transposin’ RHS terms to LHS
17a^2-10a^2 -2a-2a+10-7 = 0
7a^2 -4a+3 = 0
Using factorisation,
7a^2-7a+3a+3=0
=> 7a(a-1)+3(a-1) =0
=> (7a+3)(a-1) = 0
=> 7a+3=0 or a-1= 0
=> a = -3/7 or a = 1
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17a^2-2a+10=10a^2+2a+7
Transposin’ RHS terms to LHS
17a^2-10a^2 -2a-2a+10-7 = 0
7a^2 -4a+3 = 0
Using factorisation,
7a^2-7a+3a+3=0
=> 7a(a-1)+3(a-1) =0
=> (7a+3)(a-1) = 0
=> 7a+3=0 or a-1= 0
=> a = -3/7 or a = 1
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