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Chapter 10: Q 325. (page 1240)

Use Completing the Square to solve the quadratic equation.

2m2鈭�5m+3=0.

Short Answer

Expert verified

So, the required solution are m=1and m=32

Step by step solution

01

Given information 

The given equation is

2m2鈭�5m+3=0.

02

Step 2. Simplify the expression and use the square root property.

Solve the equation using the quadratic formula:

Write the equation in standard form first: ax2+bx+c

This is already done in this place.

Determine the a, b, and c values.

When compared to the standard, the values are a = 2 b = 5 and c= 3.

In the quadratic formula, substitute a=2,b=5, and c= -3.

x=-b卤b2-4ac2a

m=-(-5)卤52-4(2)(3)2(2)m=5卤25-244m=5卤14m=5卤14

Now simplify the both equation.

m=5+14m=64m=32

And

m=5-14m=44m=1

So, the required solution are m=1andm=32

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