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Chapter 10: Q 276. (page 1236)

In the following exercises, solve by using the Quadratic Formula.

4b2-b+8=0

Short Answer

Expert verified

The given equation has no solutions.

Step by step solution

01

Given information.

The given equation is:4b2-b+8=0

02

Use the quadratic formula.

The quadratic formula for the equation ax2+bx+c=0isx=-b卤b2-4ac2a.

Now we compare the given equation with the standard form we get a=4,b=-1andc=8.

Now we substitute these values in the quadratic formula.

b=--1卤-12-44824b=1卤1-1288b=1--1278

The value of -127is not real, so there is no real solution.

Therefore, the given equation has no solution.

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