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The trinomial $289y^2-714y+441$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-714^2-4\left(289\right)\left(441\right) = 0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 289y^2-714y+441=0. The trinomial 289y^2-714y+441 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Removing the variable's exponent raising both sides of the equation to the power of \frac{1}{2}.