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Chapter 9: Q. 534 (page 859)

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

6p2-13p+7=0

Short Answer

Expert verified

There are 2real solutions.

Step by step solution

01

Step 1. Given information.

We have:

6p2-13p+7=0

02

Step 2. Find the number of solution using discriminant.

Determine the number of solutions:

6p2-13p+7=0

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

a=6,b=13,c=7

Substitute the coefficients into the expression:

D=b2-4acD=-132-4路6路7D=169-168D=1

Therefore, the quadratic equation has 2real solutions becauseD>0.

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