Which constant should be added and subtracted to solve the quadratic equation 5x2-2x-3-0 by the method of completing the square-

5x^2 √(2)+3=0 (√(5)x)^2 √(2)x+3+(√(2/20))^2 (√(2)/√(20))^2=0 (√(5)x √(1/10))^2+3 1/10=0 Hence for making it square the construct 1/10 shoul ...

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Standard X

Mathematics

Roots of Quadratic Equation

Which constan...

Question

Which constant should be added and subtracted to solve the quadratic equation $5 x^{2} - \sqrt{2 x} + 3 = 0$ by the method of completing the square?

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Solution

$5 x^{2} - \sqrt{2} + 3 = 0$
$(\sqrt{5} x)^{2} - \sqrt{2} x + 3 + (\sqrt{\frac{2}{20}})^{2} - (\frac{\sqrt{2}}{\sqrt{20}})^{2} = 0$
$(\sqrt{5} x - \sqrt{\frac{1}{10}})^{2} + 3 - \frac{1}{10} = 0$
Hence for making it square the construct $\frac{1}{10}$ should be added and subtracted

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Which constant should be added and subtracted to solve the quadratic equation 5x2−√2x+3=0 by the method of completing the square?

5x2−√2+3=0(√5x)2−√2x+3+(√220)2−(√2√20)2=0(√5x−√110)2+3−110=0Hence for making it square the construct 110 should be added and subtracted

Which constant should be added and subtracted to solve the quadratic equation $5 x^{2} - \sqrt{2 x} + 3 = 0$ by the method of completing the square?

$5 x^{2} - \sqrt{2} + 3 = 0$
$(\sqrt{5} x)^{2} - \sqrt{2} x + 3 + (\sqrt{\frac{2}{20}})^{2} - (\frac{\sqrt{2}}{\sqrt{20}})^{2} = 0$
$(\sqrt{5} x - \sqrt{\frac{1}{10}})^{2} + 3 - \frac{1}{10} = 0$
Hence for making it square the construct $\frac{1}{10}$ should be added and subtracted