Q11 of 65 Page 13

Let us write the values of a and b, if the two roots of the equation ax2 + bx + 35 = 0 are -5 and -7

The given equation is

Given the roots are -5 and -7.


So, -5 and -7 must satisfy the equation.


∴ 2 × (2)2 + k × 2 + 4 = 0


⇒ 8 + 2k + 4 = 0


⇒ 2k + 12 = 0


⇒


Therefore, the value of k is -6.


∴ the equation is


⇒







Therefore, the other root is -1.


More from this chapter

All 65 →
11

Let us find the value of a, if one root of the equation x2+ax+3=0 is 1

 11

Let us write the value of the other root if one root of the equation x2 - (2 + b) x + 6 = 0 is 2.

 11

Let us write the value of the other root if one root of the equation 2x2 + kx + 4 = 0 is 2.

 11

Let us write the equation; if the difference of a proper fraction and its reciprocal is 9/20.