Mathematics Test 13

Result

Mathematics Test 13

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Weekly Quiz Competition

Question 1
4 / -1

For the roots of the equation a – bx – x² = 0; (a> 0, b > 0) which statement is true-

A
positive and same sign

B
negative and same sign

C
greater root in magnitude negative and opposite in signs

D
greater root in magnitude positive and opposite in signs

Solution

Let roots are α and β then from equation
– x² – bx + a = 0
we have αβ = – a < 0 => Both roots must be of oppsite sign
both the roots are in opposite sign and
α + β = – b
⇒ both roots are in opposite sign and greater root in magnitude is negative