Quadratic Equations Question 3 || 9&10 Math Capsule || Misbah Sir || Infinity Learn Class 9&10

TL;DR

This video explains how to find the values of P and Q in a quadratic equation with given roots, and provides step-by-step calculations.

Transcript

so here we have got a quadratic equation x square plus P X Plus Q is equal to 0 we have to find the value of p and C now basically these are the roots of this quadratic equation what will be the sum of the roots 2 plus I root 3 plus 2 minus I root 3 now we have to find the value of Q as well for that we can take the product of the roots of this qua... Read More

Key Insights

• 🫚 The sum of the roots of a quadratic equation can be found using the formula -B/A.
• 🫚 The product of the roots can be determined by multiplying the roots together.
• ☺️ The value of P in the equation is determined by comparing the equation with the standard form of a quadratic equation and equating the coefficients of the x term.
• 💁 The value of Q is found by calculating the product of the roots and comparing it with the standard form of a quadratic equation.

Questions & Answers

Q: How do you find the sum of the roots in a quadratic equation?

To find the sum of the roots, you can use the formula -B/A, where A is the coefficient of the x^2 term and B is the coefficient of the x term in the equation.

Q: What is the formula for finding the product of the roots in a quadratic equation?

The product of the roots can be found by multiplying the roots together. In this case, it is (2 + √3i)(2 - √3i), which simplifies to (4 - 3i^2) = 7.

Q: How is the value of P determined in the quadratic equation?

The value of P in the equation can be found by comparing the given quadratic equation with the standard form of a quadratic equation, and equating the coefficients of the x term.

Q: How is the value of Q determined in the quadratic equation?

The value of Q is found by calculating the product of the roots of the quadratic equation and comparing it with the standard form of a quadratic equation. The product of the roots is equal to Q/A.

Summary & Key Takeaways

• The video discusses how to find the sum of the roots of a quadratic equation and use it to determine the value of P in the equation.

• It also explains how to find the product of the roots and use it to determine the value of Q in the equation.

• The solutions are P = -4 and Q = 7.