Q Find the roots of the quadratic equation by the method of completing the square: 8x2+2x-3=0 2x2+3x+2=0 5x2-2x-10=0 - Maths - Quadratic Equations

Question

Q Find the roots of the quadratic equation by the method of
completing the square:

8 x 2 +2x-3=0
2 x 2 +3x+2=0
5 x 2 -2x-10=0
x 2 +5 5 x-70=0

Shruti Tyagi · Accepted Answer

Dear student,

b) -2x2+3x+2=0-2x2-3x-2=02x2-3x-2=0To solve the given quadratic equation by the method of completing the square
we  add and subtract  32222x2-3x+3222-3222-2=0⇒2x2-2×2x×322+3222-3222-2=0⇒2x-982-98-2=0     --[using a-b2=a2+b2-2ab]⇒2x-982-9+168=0⇒2x-982-258=0⇒2x-982-5222=0⇒2x-98+5222x-94-522    --[using a2-b2=a+ba-b]⇒2x-9-10282x-9+1028
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Q. Find the roots of the quadratic equation by the method of completing the square: 8 x 2 +2x-3=0 2 x 2 +3x+2=0 5 x 2 -2x-10=0 x 2 +5 5 x-70=0

Q. Find the roots of the quadratic equation by the method of completing the square:

8 $x^{2}$ +2x-3=0

2 $x^{2}$ +3x+2=0

5 $x^{2}$ -2x-10=0

$x^{2}$ +5 $\sqrt{5}$ x-70=0