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Chapter 6: Q. 336 (page 628)

Give an example of a quadratic equation that has a GCF and none of the solutions to the equation is zero.

Short Answer

Expert verified

An example of such a quadratic equation is2x2-8=0.

Step by step solution

01

Step 1. Take a quadratic equation.

Let us take an example of a quadratic equation.

2x2-8=0......(i)

On rewriting, we see,

2脳x脳x-2脳2脳2=0

Here, the greatest common factor is 2.

02

Step 2. Check if the solutions to the equation is zero.

On factoring equation (i),

2x2-4=0x2-22=0x-2x+2=0

Use zero product property,

x-2=0x=2

Then,

x+2=0x=-2

Therefore, the only two solutions to this equation is2,-2.

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