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Chapter 9: Q. 535 (page 988)

Use the discriminant to determine the number and type of solutions of each quadratic equation.

3q2-10q+12=0

Short Answer

Expert verified

The equation has no solutions.

Step by step solution

01

Step 1. Given information.

We have:

3q2-10q+12=0

02

Step 2. Find the number of solution using discriminant. 

Determine the number of solutions:

3q2-10q+12=0

Comparing the equation with standard form of quadratic equation ax2+bx+c=0, it follows:

a=3,b=-10,c=12

Substitute the coefficients into the expression:

D=b2-4acD=-102-4路3路12D=100-144D=-44

The quadratic equation has no real solutions becauseD<0.

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