Problem

4b2+8b+7=4

Answer

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Answer

The solutions to the equation 4b2+8b+7=4 are 1.5 and 0.5.

Steps

Step 1 :The given equation is a quadratic equation in the form of ax2+bx+c=0. We can solve this equation using the quadratic formula x=b±b24ac2a.

Step 2 :Identify the coefficients in the equation: a=4, b=8, and c=3.

Step 3 :Calculate the discriminant (D) using the formula D=b24ac. Substituting the values, we get D=16.

Step 4 :Substitute the values of a, b, and D into the quadratic formula to find the solutions. The solutions are sol1=1.5 and sol2=0.5.

Step 5 :The solutions to the equation 4b2+8b+7=4 are 1.5 and 0.5.

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