Home Forums Math Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?

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    deepakp
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      Can somebody please add the solution!

      #10818
      suseelk
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        Answer: x = (2 ± √10 i)/2

        Explanation :
        Standard Quadratic Expression : ax^2 + bx + c = 0
        Using quadratic formula, expression for roots,
        x = [ -b ± √(b2 – 4ac) ] / 2a

        By comparing,
        => x = [ -(-4) ± √{(-4)2 – 4(2)(7)} ] / 2(2)
        => x = [ 4 ± √{16 – 56} ] / 4
        => x = [ 4 ± √(-40) ] / 4
        => x = [ 4 ± 2√10 i ] / 4
        => x = (2 ± √10i)/2

        Therefore, the roots of x are : (2 + √10 i)/2 and (2 – √10 i)/2

        • This reply was modified 2 years, 10 months ago by ProtonsTalk.
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