Question

Solving quadratic equation using the completing the square method. (a)-6h²+5h+2=0​

Answer 1

`-6h^(2)+5h+2=0\\h^(2) -(5)/(6) h-(1)/(3) =0\\h^(2) -(5)/(6) h+((5)/(12) )^(2) -((5)/(12) )^(2)-(1)/(3) =0\\(h-(5)/(12) )^(2) =(1)/(3) +((5)/(12) )^(2)\\(h-(5)/(12) )^(2) =(73)/(144) \\`

`h-(5)/(12) = \sqrt{(73)/(144)} \\h=\sqrt{(73)/(144)} +(5)/(12)`

or

`h-(5)/(12) = -\sqrt{(73)/(144)} \\h=-\sqrt{(73)/(144)} +(5)/(12)`

Answer 2

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