Question

Cat este x
$\sqrt{ {(2x - 1) }^{2} - 9} = 5$
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Answer 1

Răspuns:

x1,x2

Explicație pas cu pas:

ridicam la pătrat

(2x-1)^2-9=25

(2x-1)^2=34

4x^2-4x+1=34

4x^2-4x-33=0

a=4,b=-4,c=-33

Δ=b^2-4ac

Δ=16+528

Δ=544

=> x1=-b-radical Δ/2a

=4-4radical34/8

=4(1-radical 34)/8

=1-radical 34/2

=>x2=-b+radicalΔ/2a

=4+4radical 34/8

1+radical 34/2