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Chapter 9: Q. 142 (page 898)

In the following exercises, solve by using the Quadratic Formula.
25d2-60d+36=0

Short Answer

Expert verified

The solution of the given equation is d=65.

Step by step solution

01

Step 1. Given information.

The given equation is:

25d2-60d+36=0

02

Step 2. Substitute the values in Quadratic Formula.

Quadratic Formula for the equation ax2+bx+c=0is:

x=-b卤b2-4ac2a

In the given equation, a=25,b=-60,c=36. Substitute these values in Quadratic Formula.

d=-(-60)卤(-60)2-4(25)(36)2(25)

03

Step 3. Simplify the value.

On simplification, we get

d=60卤3600-360050d=60卤050d=6050d=65

04

Step 4. Conclusion.

The solution of the given equation is d=65.

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