Three sisters Asha, Bina and Chitra solved $x^{2} - 13 x + 40 = 0$ .
Asha says the roots are 5 and 8, Bina says 4 and 10, Chitra says 2 and 20.
Who is correct?

Question

Three sisters Asha, Bina and Chitra solved x^2 - 13x + 40 = 0. Asha says the roots are 5 and 8, Bina says 4 and 10, Chitra says 2 and 20. Who is correct?

Accepted Answer

Asha. x^2 - 13x + 40 = (x - 5)(x - 8) = 0, so the roots are 5 and 8. Asha is correct (5 + 8 = 13, 5 x 8 = 40).

Three sisters Asha, Bina and Chitra solved $x^{2} - 13 x + 40 = 0$ .
Asha says the roots are 5 and 8, Bina says 4 and 10, Chitra says 2 and 20.
Who is correct?

Step-by-Step Solution

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More Class 10 Standard Form and Roots practice

Three sisters Asha, Bina and Chitra solved x2−13x+40=0.Asha says the roots are 5 and 8, Bina says 4 and 10, Chitra says 2 and 20.Who is correct?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Standard Form and Roots practice

Three sisters Asha, Bina and Chitra solved $x^{2} - 13 x + 40 = 0$ .
Asha says the roots are 5 and 8, Bina says 4 and 10, Chitra says 2 and 20.
Who is correct?