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Solve the quadratic equation X2 + 6X − 7 = 0 using Sridharan's method.

Mathematics

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We will solve equation 5: X2+6X−7=0X^2 + 6X - 7 = 0 using Sridharan's method to find the roots of the parabola.
Here, a=1a=1, b=6b=6, c=−7c=-7.

  1. Multiply each side by $4a$.

    4(1)(X2+6X−7)=4(1)(0)4(1)(X^2 + 6X - 7) = 4(1)(0) 4X2+24X−28=04X^2 + 24X - 28 = 0

    Rearrange to move the constant term to the right side:

    4X2+24X=284X^2 + 24X = 28
  2. Add b2b^2 to both sides to complete the square.

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