The ratio of the sum and the product of the roots of 5 x 2-14 x -8-0 isA- 5- 8B- 7- 4C- 6- 5D- 9- 11

The correct option is B 7: 4 5x^2 – 14x + 8 = 0, sum of the roots = ( 14)/5 = 14/5 product of the roots = 8/5 Thus, sum of roots: product of roots = 14/5 : 8/ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Sum and Product of Roots of a Quadratic Equation

The ratio of ...

Question

The ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ is

5: 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7: 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6: 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9: 11

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
7: 4

$5 x^{2} - 14 x + 8 = 0$ ,

sum of the roots = - $\frac{(- 14)}{5}$ = $\frac{14}{5}$

product of the roots = $\frac{8}{5}$

Thus, sum of roots: product of roots = $\frac{14}{5}$ : $\frac{8}{5}$ = 14: 8 = 7: 4

Suggest Corrections

Similar questions

Which of the following denotes the ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ ?

The ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 7 = 0$ is

___.

The ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ is___:___.

[Ratio in its reduced form]

Q. Find the sum and product of the roots of the quadratic equation

5 x^{2} - 2 x - 7 = 0

Q. For the quadratic equation:

x^{2} + 4 x + 5

= 0, the sum of the roots is .

Join BYJU'S Learning Program

The ratio of the sum and the product of the roots of 5x2–14x+8=0 is

The correct option is B 7: 4 5x2–14x+8=0, sum of the roots = -(−14)5 = 145 product of the roots = 85 Thus, sum of roots: product of roots = 145 : 85 = 14: 8 = 7: 4

The ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ is

The correct option is B
7: 4

$5 x^{2} - 14 x + 8 = 0$ ,

sum of the roots = - $\frac{(- 14)}{5}$ = $\frac{14}{5}$

product of the roots = $\frac{8}{5}$

Thus, sum of roots: product of roots = $\frac{14}{5}$ : $\frac{8}{5}$ = 14: 8 = 7: 4