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Let us put this to practice. Example 1: Discuss the nature of the roots of the quadratic equation 2x 2 – 8x + 3 = 0. Solution: Here the coefficients are all rational. The discriminant D of the given equation is. D = b 2 – 4ac = (-8) 2 – 4 x 2 x 3. = 64 – 24. = 40 > 0.
Find the roots of the quadratic equation √2x2 +7x+5√2 = 0 using factorisation method. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:find the roots of quadratic equation sqrt 2 x2 7x 5sqrt 2.
Click here:point_up_2:to get an answer to your question :writing_hand:find the roots of 3x2 2sqrt 6 x 2 0
For what value of k, are the roots of the quadratic equation (k+4)x2 +(k+1)x+1 = 0 equal? View Solution. Q 3. (i) Find the values of k for which the quadratic equation 3 k + 1 x 2 + 2 k + 1 x + 1 = 0 has real and equal roots. [CBSE 2014] (ii) Find the value of k for which the equation x 2 + k 2 x + k - 1 + 2 = 0 has real and equal roots.
Solving a Quadratic Equation by Completion of Squares Method. Question. Find the roots of the quadratic equation using completing the square method: 4 x 2 − 4 p x + p 2 − q 2 = 0
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:2 x 2 + x - 4 = 0. View Solution. Q 4. Question 2 (iv) Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula. (iv) 2x2 +x+4 = 0. View Solution.
Find the roots of the quadratic equation 5 x 2 + 13 x + 8 = 0 by using the quadratic formula. View ...
Find that non-zero value of k, for which the quadratic equation k x 2 + 1 − 2 (k − 1) x + x 2 = 0 has equal roots. Hence find the roots of the equation. Hence find the roots of the equation. View Solution
In the following, determine whether the given quadratic equation has real roots and if so, find the roots. [3 MARKS]6x2 +x−2 = 0. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:find the root of the following quadratic equation6x2x20.
Using quadratic formula solve the following quadratic equation: [3 MARKS]p2x2 +(p2 −q2)x −q2 = 0,p ≠ 0. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:solve the equation4x2 4px left p2 q2 right 0.
