What is the value of a such that the equation (3a+1)x2 + (a+2)x + 1 = 0 shall have equal roots.

April 5, 2026Mathematics

ScanSolve AI Answer

April 5, 2026

Answer

0 $. The discriminant is given by$ \Delta = B^2 - 4AC$.

To solve these problems, we use the concept of the discriminant of a quadratic equation $Ax^2 + Bx + C = 0$ . The discriminant is given by $\Delta = B^2 - 4AC$ .

For equal roots, $\Delta = 0$ .
For real roots, $\Delta \ge 0$ .

1. What is the value of $a$ such that the equation $(3a+1)x^2 + (a+2)x + 1 = 0$ shall have equal roots.

Step 1: Identify the coefficients A, B, and C from the given quadratic equation. The equation is $(3a+1)x^2 + (a+2)x +

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QGuys what is the standard hight of a water closet if the diameter is 100mm Q8 . Calculate the area of triangle given below with scale 1cm to 4km . 9 What point of the compass c…QDetermine the equation that Mr. Kheswa will use to calculate his total monthly costs.QUse the information and Table 1 above to answer the questions that follow. 15.1.1 Differentiate betw…QIf 23 pupils did not pass maths, find the value of y. Find the probability of picking up at a random…

See all Mathematics questions →

Still have questions?

Quick Answer

To solve these problems, we use the concept of the discriminant of a quadratic equation Ax^2 + Bx + C = 0.

Asked on April 5, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 5, 2026

To solve these problems, we use the concept of the discriminant of a quadratic equation Ax^2 + Bx + C = 0. The discriminant is given by = B^2 - 4AC. For equal roots, = 0. For real roots, 0. --- 1. What is the value of a such that the equation (3a+1)x^2 + (a+2)x + 1 = 0 shall have equal roots. Step 1: Identify the coefficients A, B, and C from the given quadratic equation. The equation is $(3a+1)x^2 + (a+2)x +