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Chapter 9: Q.450. (page 983)

Solve by using the quadratic formula.

9d2-12d=-4

Short Answer

Expert verified

The solution isd=23.

Step by step solution

01

Step 1. Given information.

The given equation is9d2-12d=-4.

02

Step 2. Write the equation in standard form.

The standard form of the quadratic equation is ad2+bd+c=0.

9d2-12d=-49d2-12d+4=09d2+-12d+4=0

So, herea=9,b=-12,c=4.

03

Step 3. Apply the quadratic formula.

The quadratic formula is d=-b卤b2-4ac2a.

d=--12卤(-12)2-4脳9脳42脳9鈰�鈰�a=9,b=-12,c=4=12卤144-14418=12卤018=1218=23

04

Step 4. Simplified answer.

Hence, the required solution isd=23.

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