For 6x² + 11x − 35 = 0 the discriminant is 961 = 31², a perfect square, so the formula returns rational roots. The roots are:

Question

Accepted Answer

5/3 and -7/2. x = -11 ± 31/12, giving 20/12 = 5/3 and -42/12 = -7/2. Because D is a perfect square the same pair comes from factorising (3x − 5)(2x + 7) = 0 — the two methods must agree. Turning the roots upside down gives 3/5 and -2/7.

For $6 x^{2} + 11 x - 35 = 0$ the discriminant is $961 = 3 1^{2}$ , a perfect square, so the formula returns rational roots. The roots are:

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More Class 10 The Quadratic Formula practice

For 6x2+11x−35=0 the discriminant is 961=312, a perfect square, so the formula returns rational roots. The roots are:

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

For $6 x^{2} + 11 x - 35 = 0$ the discriminant is $961 = 3 1^{2}$ , a perfect square, so the formula returns rational roots. The roots are: