Answer :
Final answer:
The quadratic equation 4x²-81=0 has two solutions obtained by factoring, which are x=4.5 and x=-4.5.
Explanation:
The equation given is 4x²-81=0 which is a quadratic equation. We can solve this equation by factoring as it is a difference of two squares. Factoring gives us (2x-9)(2x+9)=0. This equation is satisfied if either (2x-9)=0 or (2x+9)=0, which gives us the solutions for x as x=9/2=4.5 and x=-9/2=-4.5 respectively. These solutions can also be written as x=4.5 (or just 9/2) and x=-4.5 (or just -9/2).
Final answer:
The solutions to the equation 4x² - 81 = 0 are x = -9 and x = 9.
Explanation:
To find the solutions to the equation 4x² - 81 = 0, we can use factoring or the quadratic formula. In this case, we can use factoring to rewrite the equation as (2x+9)(2x-9) = 0. To find the solutions, we set each factor equal to zero and solve for x. So, the solutions are x = -9 and x = 9.
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