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Chapter 9: Q.183 (page 906)

In the following exercises, solve equations in Quadratic Form for 6x23鈭�鈥�x13鈥�=鈥�12.

Short Answer

Expert verified

The solution of the quadratic equation is x=278,鈥�x=-6427 .

Step by step solution

01

Step 1. Given Information.

The given equation is 6x23鈭�鈥�x13鈥�=鈥�12.

02

Step 2. Simplifying .

Simplify 6x23鈭�鈥�x13鈥�=鈥�126x132-x13=12

Substitute u=x13, we get:-

6u2-u=12

6u2-u-12=0

03

Step 3. Solving quadratic equation .

Using Quadratic formula :-

6u2-u-12=0

u1,鈥�2=--1卤-12-4路鈥�6-122路鈥�6u1=--1+172路鈥�6,鈥�u2=--1-172路鈥�6u=32,鈥�u=-43

04

Step 4. Simplify

Solve for x13=32;x=278x13=-43;x=-6427

Therefore, The solutions are x=278,鈥�x=-6427 .

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