the discriminant is 0 determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers
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Step 1: When the discriminant is 0, it means that the quadratic equation has exactly one real solution. Show more…
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Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example $9 .$ $$x^{2}+4 x+4=0$$
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Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example $9 .$ $$2 x^{2}+4 x+1=0$$
Evaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example $9 .$ $$3 x^{2}+5 x+2=0$$
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