When computations are carried out on a calculator, the quadratic formula will not always give accurate results if b2 is large in comparison to ac, because one of the roots will be close to zero and difficult to approximate. a) Use the quadratic formula to approximate the roots of the given equation. b) To obtain a better approximation for the root near zero, rationalize the numerator to change. x=−b±b2−4ac2a to x=2c−b±b2−4ac, and use the second formula. 1) x2+4,500,000x−0.96=0 2) x2−73,000,000x+2.01=0

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When computations are carried out on a calculator, the quadratic formula will not always give accurate results if b2 is large in comparison to ac, because one of the roots will be close to zero and difficult to approximate.  a) Use the quadratic formula to approximate the roots of the given equation.  b) To obtain a better approximation for the root near zero, rationalize the numerator to change.  x=−b±b2−4ac2a to x=2c−b±b2−4ac, and use the second formula.  1) x2+4,500,000x−0.96=0  2) x2−73,000,000x+2.01=0

avortarF · Accepted Answer

Step 1 The first formula is denoted as x=−b±b2−4ac2a and second formula is denoted as x=2c−b±b2−4ac We have been given two expressions for which, the accuracy of the two formula are to be compared: f(x)=0x=−b±b2−4ac2ax=2c−b±b2−4acx2−4500000x−0.96=0x={−4500000−2.132×10−7x={−2.133×10−74501275.769x2−73000000x+2.01=0x={0−73000000x={underfined−2.753×10−8 Step 2 Thus, it can be seen that if values of coefficients are offset by a large amount, deviations are seen among the values of solutions obtained between the equations.

When computations are carried out on a calculator, the quadratic formula will no

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