Scelta multipla
Solve each quadratic equation using the square root property.
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10. Quadratic Equations and Functions
The Square Root Property
Scelta multipla
Solve each quadratic equation using the square root property.
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Start with the given quadratic equation: \(2y^2 = 54\).
Isolate the \(y^2\) term by dividing both sides of the equation by 2: \(y^2 = \frac{54}{2}\).
Simplify the right side to get \(y^2 = 27\).
Apply the square root property, which states that if \(y^2 = k\), then \(y = \pm \sqrt{k}\). So, write \(y = \pm \sqrt{27}\).
Simplify the square root by factoring 27 into \(9 \times 3\), then take the square root of 9 out of the radical: \(y = \pm 3\sqrt{3}\).
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