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Complete square method |
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Answer» Example : Solve 5x2 – 4x – 2 = 0Step 1 Divide all terms by 5x2 – 0.8x – 0.4 = 0Step 2 Move the number term to the right side of the equation:x2 – 0.8x = 0.4Step 3 Complete the square on the left side of the equation and balance this by adding the same number to the right side of the equation:(b/2)2 = (0.8/2)2 = 0.42 = 0.16x2 – 0.8x + 0.16 = 0.4 + 0.16(x – 0.4)2 = 0.56Step 4 Take the square root on both sides of the equation:x – 0.4 = ±√0.56 = ±0.748 (to 3 decimals)Step 5 Subtract (-0.4) from both sides (in other words, add 0.4):x = ±0.748 + 0.4 = -0.348 or 1.148 If it is easy so do it instead of saying no ok jatin . rohini i will give u example wait ? To solve ax2+bx+c=0 by completing the square: 1. Transform the equation so that the constant term, c , is alone on the right side. 2. If a , the leading coefficient (the coefficient of the x2 term), is not equal to 1 , divide both sides by a . 3. Add the square of half the coefficient of the x -term, (b2a)2 to both sides of the equation. 4. Factor the left side as the square of a binomial. 5. Take the square root of both sides. (Remember: (x+q)2=r is equivalent to x+q=±r√ .) 6. Solve for x . It is a very siple question so i will not do it |
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