HARD
10th West Bengal Board
IMPORTANT
Earn 100

When a group of soldiers are arranged in 4 deep hollow squares the number of soldiers in the front row is 16 more than the number of soldiers in the front row when they are arranged in perfect squares. Find the number of soldiers.

Important Questions on Quadratic Equation in One Variable

MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation 2x2-3x-5=0.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation x2+4x+1=0.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation 4x2+20x+25=0.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation x2-8x+25=0.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation x2-25x-4=0.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 1
Find the nature of the roots of the equation (a+c-b)x2+2cx+(b+c-a)=0, (a,b,c are real and rational).
HARD
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 2
Find the value of k for which the roots of the equation (k+1)x2+2(k+3)x+(k+8)=0 are real and equal.
MEDIUM
10th West Bengal Board
IMPORTANT
SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 2
If the roots of the equation x2-2(a+b)x+a(a+2b+c)=0 are equal, prove that b2=ac.