If α, β are the zeroes of the quadratic polynomial x2 + kx = 12, such that α – β = 1, find the value of k? , We will provide you with important educational content through our educational website, where we support you as we have promised you in preparing lessons and solving all educational and cultural questions, as you have a group of experts and professors to provide you with all the answers and educational content that interests you, and here we show you: If α, β are the zeroes of the quadratic polynomial x2 + kx = 12, such that α – β = 1, find the value of k?
If α, β are the zeroes of the quadratic polynomial x2 + kx = 12, such that α – β = 1, find the value of k?
Correct option is D)
k2+kx−12=0
a,a+1 are the roots. Therefore,
2a+1=−k
or a=2−k−1
Also, a2+a=−12
or4(k+1)2-(k+1)=−12
or (k+1)2+2(k+1)=−48
or (k+1)2+2(k+1)+48=0
or (k+1−8)(k+1+6)=0
or (k−7)(k+7)=0
k2+kx−12=0
a,a+1 are the roots. Therefore,
2a+1=−k
or a=2−k−1
Also, a2+a=−12
or4(k+1)2-(k+1)=−12
or (k+1)2+2(k+1)=−48
or (k+1)2+2(k+1)+48=0
or (k+1−8)(k+1+6)=0
or (k−7)(k+7)=0
Hee If α, β are the zeroes of the quadratic polynomial x2 + kx = 12, such that α – β = 1, find the value of k?
A
k=±√12
B
k=±√48
C
k=±√47
D
k=±√49