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Chapter 9: Q.180 (page 906)

In the following exercises, solve equations in Quadratic Form for x23鈥�-3x13鈥�=28.

Short Answer

Expert verified

The solution of the quadratic equation is x=343,鈥�x=-64 .

Step by step solution

01

Step 1. Given Information.

The given equation is x23鈥�-3x13鈥�=28 .

02

Step 2. Simplifying .

Simplify x23鈥�-3x13鈥�=28

x132鈥�-3x13鈥�=28

Substitute u=x13, we get:-

u2-3u=28u2-3u-28=0

03

Step 3. Solving quadratic equation .

Using Quadratic formula :-

u2-3u-28=0

u1,鈥�2=--3卤-32-4路鈥�1路-282路鈥�1u1,鈥�2=--3卤鈥�112路鈥�1u1=--3+112路鈥�1,鈥�u2=--3-112路鈥�1u=7,鈥�u=-4

04

Step 4. Simplify

Solve for

x13=7;x=343x13=-4;x=-64

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