The formula gives two positive roots for x² − 12x + 4 = 0. What is the difference between them, in simplest surd form?

Question

Accepted Answer

8√2. D = 144 − 16 = 128, so x = 12 ± √1282 = 12 ± 8√22 = 6 ± 4√2. Since 4√2 5.66 < 6, both roots are indeed positive, and their difference is (6 + 4√2) - (6 - 4√2) = 8√2. Answering 4√2 gives only half the gap.

The formula gives two positive roots for $x^{2} - 12 x + 4 = 0$ . What is the difference between them, in simplest surd form?

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The formula gives two positive roots for x2−12x+4=0. What is the difference between them, in simplest surd form?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

The formula gives two positive roots for $x^{2} - 12 x + 4 = 0$ . What is the difference between them, in simplest surd form?