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Applied Calculus

7th Edition
Waner + 1 other
ISBN: 9781337291248

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Chapter
Section
BuyFindarrow_forward

Applied Calculus

7th Edition
Waner + 1 other
ISBN: 9781337291248
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution.

2 x 2 5 = 0

To determine

To calculate: The all real solutions in the quadratic equation 2x25=0.

Explanation

Given Information:

The provided quadratic equation is 2x25=0.

Formula used:

The value of x in the equation ax2+bx+c=0 can be given by the quadratic formula,

x=b±b24ac2a where a,b and c are real numbers with a0.

Calculation:

Consider the quadratic equation 2x25=0.

Compare the above equation with the equation ax2+bx+c=0,

a=2, b=0 and c=5

Put the values of a,b,c in the quadratic formula x=b±b24ac2a.

x=0±(0)242(5)22=0±404=0±2104=±52

Further simplify,

x=52 Or x=52

Check:

For x=52

Substitute the value of x=52 in 2x25=0

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