
How do you solve using the quadratic formula?
Answer
474.6k+ views
Hint: The degree of a polynomial equation is defined as the highest exponent of the unknown quantity in a polynomial equation. The factors/solution/zeros of the given polynomial are defined as those values of x at which the value of a polynomial is zero. In the given question, we are given a quadratic equation and we are already told to solve the given quadratic equation using the quadratic formula, so for that, we will first express the given equation in the standard equation form and then the values of the coefficients are plugged in the quadratic formula.
Complete step-by-step solution:
The equation given is
On comparing the given equation with the standard quadratic equation , we get –
The Quadratic formula is given as –
Now, put the known values in the above equation –
Hence the zeros of the given equation are and .
Note: An algebraic expression that contains numerical values and alphabets too is known as a polynomial equation, but when the alphabets representing an unknown variable quantity are raised to some non-negative integer as the power, the algebraic expression becomes a polynomial equation. A quadratic polynomial is defined as a polynomial of degree two and its zeros can be found using many methods like factorization, completing the square, graphs, quadratic formula etc. We use the quadratic formula when we fail to find the factors of the equation. But in this question we can also solve the equation by factorization as the factors of the equation can be found easily by hit and trial.
Complete step-by-step solution:
The equation given is
On comparing the given equation with the standard quadratic equation
The Quadratic formula is given as –
Now, put the known values in the above equation –
Hence the zeros of the given equation are
Note: An algebraic expression that contains numerical values and alphabets too is known as a polynomial equation, but when the alphabets representing an unknown variable quantity are raised to some non-negative integer as the power, the algebraic expression becomes a polynomial equation. A quadratic polynomial is defined as a polynomial of degree two and its zeros can be found using many methods like factorization, completing the square, graphs, quadratic formula etc. We use the quadratic formula when we fail to find the factors of the equation. But in this question we can also solve the equation by factorization as the factors of the equation can be found easily by hit and trial.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

How do I get the molar mass of urea class 11 chemistry CBSE

How do I convert ms to kmh Give an example class 11 physics CBSE

Where can free central placentation be seen class 11 biology CBSE

What is the molecular weight of NaOH class 11 chemistry CBSE

What is 1s 2s 2p 3s 3p class 11 chemistry CBSE
