If α and β are the roots of 2x² − 7x + 3 = 0, then (α − β)² equals:

Question

Accepted Answer

25/4. α + β = 7/2 and αβ = 3/2, and (α − β)² = (α + β)² − 4αβ = 49/4 − 6 = 25/4. (49/4 drops the −4αβ term and 73/4 adds it instead of subtracting; 5/2 is α − β itself, not its square.) The roots are 3 and 1/2, and (3 − 1/2)² = 25/4.

If α and β are the roots of $2 x^{2} - 7 x + 3 = 0$ , then $(α - β)^{2}$ equals:

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If α and β are the roots of 2x2−7x+3=0, then (α−β)2 equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If α and β are the roots of $2 x^{2} - 7 x + 3 = 0$ , then $(α - β)^{2}$ equals: