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Chapter 9: Q.184 (page 906)

In the following exercises, solve equations in Quadratic Form for 3x23鈥�鈭�鈥�10x13鈥�=鈥�8.

Short Answer

Expert verified

The solution of the equation is x=64,鈥�x=-827.

Step by step solution

01

Step 1. Given Information.

The given equation is 3x23鈥�鈭�鈥�10x13鈥�=鈥�8.

02

Step 2. Simplifying .

Simplify 3x23鈥�鈭�鈥�10x13鈥�=鈥�8

3x132-10x13=8

Substitute u=x13, we get:-

3u2-10u=8

3u2-10u-8=0

03

Step 3. Solving quadratic equation .

Using Quadratic formula :-

u1,鈥�2=--10卤-102-4路鈥�3-82路鈥�3u1,鈥�2=--10卤鈥�142路鈥�3u1=--10+142路鈥�3,鈥�u2=--10-142路鈥�3u=4,鈥�u=-23

04

Step 4. Simplify

Solve for x13=4;x=64x13=-23;x=-827

Therefore, The solution is x=64,鈥�x=-827 .

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