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Chapter 9: Q40. (page 595)

Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

d2鈭�5d+6=0

Short Answer

Expert verified

The solutions of the quadratic equations are 3 and 2.

Step by step solution

01

Step 1. Understand the concept used.

If ax2+bx+c=0, with a鈮�0, then x=鈭�b卤b2鈭�4ac2a. Solving using factoring can be done by splitting the middle term of the equation and then making groups and equating them to zero.

02

Step 2. Substitute the values. 

It is given that d2鈭�5d+6=0.Using the quadratic formula d=鈭�b卤b2鈭�4ac2a, substitute 1 for a,-5 for band 6 for c.

Put the values in the formula and get d=鈭�鈭�5卤鈭�52鈭�4脳1脳621.

03

Step 3. Write the solutions.

Simplify the expression ford.

d=鈭�鈭�5卤鈭�52鈭�4脳1脳621

=5卤25鈭�242=5卤12=5卤12

Therefore, either

d=5+12=3

or,

d=5鈭�12=2

that is., either d=3or d=2.

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