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Improve your analytical abilities to prove whether the given equation is a quadratic equation or not using our textbook solutions. Also, learn the concept of two equal roots and two distinct real roots through Maths practice. Revise the quadratic formula and the factorisation method to prove quadratic equations with the support of our ICSE Class 10 Maths textbook solutions.
To revisit the problem-solving methods, you can watch our concept videos or go through our well-written revision notes. Find which of the following equations are quadratic:. Find the values of m and n. Solving equations 1 and 2 simultaneously,. Find the values of a and b. Without solving, comment upon the nature of roots of each of the following equations :. Find the value of 'p', if the following quadratic equations have equal roots :. Since, the roots are equal,. Find the value of n.
Solve :. Find the quadratic equation, whose solution set is :. Put these values of a and b in the given equation. Put in L. Since L. Find the value of m. Put given value of x in the given equation. Solve each of the following equations using the formula :.
Solve each of the following equations for x and give, in each case, your answer correct to one decimal place :. Solve each of the following equations for x and give, in each case, your answer correct to two decimal places :. Solve each of the following equations for x and give, in each case, your answer correct to 3 decimal places :. Solve the equation.
Write your answer correct to two decimal places. Solve the following equation and give your answer correct to 3 significant figures:. Consider the given equation:.
Solve for x using the quadratic formula. Write your answer correct to two significant figures. Solve each of the following equations, giving answer upto two decimal places.
Without solving the following quadratic equation, find the value of 'm' for which the given equation has real and equal roots. One root of the quadratic equation is. Also, find the other root of the equation. Given quadratic equation is �.
One of the roots of i is , so it satisfies i. So, the equation i becomes. Hence, the other root is. One root of the quadratic equation is -3, find its other root. One of the roots of i is -3, so it satisfies i. Hence, the other root is 2a. If and ;find the values of x. Given i. So, the given quadratic equation becomes. Hence, the values of x are and. Find the solution of the equation ; if and.
Given quadratic equation is �.. Also, given and. Hence, the solution of given quadratic equation are and. Given quadratic equation is. Since, m and n are roots of the equation, we have. Hence ,. Solve, using formula :. Using quadratic formula,. Solve the quadratic equation. Find the value of m for which the equation has real and equal roots. The quadratic equation has real and equal roots if its discriminant is zero. Find the values of m for which equation has equal roots.
Also, find the roots of the given equation. The quadratic equation has equal roots if its discriminant is zero. When , equation i becomes. Find the value of k for which equation has real roots. The quadratic equation has real roots if its discriminant is greater than or equal to zero. Hence, the given quadratic equation has real roots for.
Find, using quadratic formula, the roots of the following quadratic equations, if they exist. Using quadratic formula, we have. Since D. But as x. Enter the OTP sent to your number Change. Resend OTP. Starting early can help you score better! Avail Offer. Chapter 5 - Quadratic Equations Exercise Ex. Question 1 v. Question 1 vi. Question 1 i. Question 1 ii. Question 1 iii.
Question 2 i. Question 2 ii. Question 3. Question 4. Question 5. Question 2. Question 6. Question 7. Question 8. Question 9. Question Find the quadratic equation, whose solution set is : i ii.
Question 22 i. Question 22 ii. Question 3 iv. Question 3 iii. Question 3 ii. Question 3 i. Solve : i ii iii. Given: or. Given quadratic equation is Since, m and n are roots of the equation, we have and Hence ,. Solve the quadratic equation i When integers ii When rational numbers.
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