Quadratic equations are one of the fundamental concepts in algebra, and they are an essential tool for solving a wide range of mathematical problems. These equations are used to model a variety of real-world situations, such as the motion of objects under the influence of gravity or the behaviour of financial markets. In this blog, we will explore some of the most common quadratic equation questions and provide answers to help you better understand this important topic.
In this article, Quadratic Equation Questions and Answers, we are providing the latest and most important Quadratic Equation Questions under the Aptitude section for those aspirants who are preparing for upcoming competitive exams.
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Q : What are the roots of the quadratic equations? $$(x^2 + 3x - 154 = 0)$$
(A) 11, 14
(B) 11, -14
(C) 14, -11
(D) 14, -22
If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$.
(A) $$ {x^2-4x+8=0}$$
(B) $$ {x^2-32x+4=0}$$
(C) $$ {x^2-2x+4=0}$$
(D) $$ {x^2-16x+4=0}$$
If $$ \left( x^2+{1\over x^2} \right)- \left( x - {1\over 4} \right)- 7 =0 $$ then two value of x are :
(A) 1, 2
(B) $$ 2, -{1\over 2} $$
(C) 0, 1
(D) $$ {1\over 2} , 1 $$
Find out the value of a when $$x^3+ax^2+ 2x+3 $$ is divisible by (x+1)?
(A) 2
(B) 0
(C) 3
(D) -1
In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
(A) x2 + 10x + 9 = 0
(B) x2 – 10x = 16 = 0
(C) x2 – 10x + 9 = 0
(D) None of these
If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?
(A) $$B^2 - 16A^2 = 4AC + 4B^2 $$
(B) $$B^2 - 10A^2 = 4AC + 6A^2$$
(C) $$B^2 - 8A^2 = 4AC + 10A^2 $$
(D) $$B^2 - 16A^2 = 4A^C + 8B^2$$
If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE?
(A) $$7B^2= 3 CA $$
(B) $$7B^2 = 4 CA$$
(C) $$7B^2 = 36 CA $$
(D) $$10B^2 = 49 CA $$
If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α3/β2 and β3/α2?
(A) $$x^2 - 4x + 8 = 0 $$
(B) $$x^2 - 32x + 4 = 0 $$
(C) $$x^2 - 2x + 4 = 0 $$
(D) $$x^2 - 16x + 4 = 0 $$
What are the roots of the equation log10(x2-6x+45) =2?
(A) 9, - 5
(B) -9, 5
(C) 11, -5
(D) -11, 5
α and β is two root of a equations $$2x^2-7x+ 12=0 $$ then the value of $$ {α \over β } + {β \over α }=? $$
(A) 24
(B) $$ {1 \over 24 }$$
(C) 12
(D) $$ {1 \over 12 }$$
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