Question

if one of the roots of equation x²+6x-12=0 is 2,,then the other root is​

Answer 1

Answer:

1

Step-by-step explanation:

Hope it will help you

Mark

Answer 2

Answer:

One root of the equation x^2+6x+q=0 is twice the other root. What is q? What are the roots?

Is Oppo EncoX water resistant and good to use during workouts?

Gone are the days when earphone-wires would wildly flail around or stick to your sweaty tee during workouts, thanks to the all-ne

Profile photo for Shubh Ashish

Shubh Ashish

Answered 1 year ago

Let one of the roots be a.

Then, the other root will be 2a.

x2+6x+q=0.

Sum of the roots, a+2a=−(6)/(1)

3a=(−6)

a=−2.

Therefore, the other root is −4.

Also, product of roots= (q/1)

2a2=q.

2(4)=q

q=8.

Hence, the value of q is 8 and the roots are -2 and -4.

One root of the equation 4x²+2+k=8x is three times the others. What is k?

263 Views

If one root of the equation x^2-px+q=0 be twice the other, how will you show that 2p^2=9q?

3,530 Views

If the root of the equation x^2-4x+k=0 is 6, then what is the value of k?

11,849 Views

If one root of ax2+bx+c would be the square of the other, then the value of b3+ac2+a2c is?

23,006 Views

What is the root of x2+6x+5=0 ?

11,221 Views

Profile photo for Ananya

Ananya

Answered 1 year ago

We know that sum of roots in a quadratic equation is given by

p+q=-b/a

If p, q are roots

The quadratic equation is x^2+6x+q

One root is twice the other. So,

The roots are p, 2p

Comparing coefficients,

a=1,b=6,c=q

So, - b/a=p+2p

-6/1=3p

-6=3p

p=-2

So the roots are - 2 and 2(-2)=-4

Also we know that product of zeros=c/a

That is, pq=c/a

-2×(-4)=q/1

q=8