The roots of the equation are .
Further explanation:
The quadratic equation are those equation whose degree is 2.
The general quadratic equation can be expressed as,
Here, are the real numbers.
The roots of the quadratic equation can be found by the quadratic rule.
In the above formula denotes the discriminant.
Therefore, the value of the discriminant cannot be negative because negative value does not exist in the square root for the real numbers.
The negative value in the root is defined only for the complex numbers.
Given:
The given equation is .
Step by step explanation:
Step 1:
The given equation is the quadratic equation as its degree is 2.
Now to solve the given quadratic equation by the quadratic rule we need to find the value of the coefficients and constants.
Now compare the given quadratic equation with general quadratic equation to obtain the value of the coefficients and constant as,
Step 2:
Now substitute the value of in the quadratic formula to obtain the roots of the equation.
The above equation can be further solved as,
Therefore, the roots of the equation are .
Learn more:
- Learn more about the function is graphed below brainly.com/question/9590016
- Learn more about the symmetry for a function brainly.com/question/1286775
- Learn more about midpoint of the segment brainly.com/question/3269852
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Quadratic equation
Keywords: linear equation, roots, solution, quadratic equation, coefficients, constants, real number, defined, complex numbers, substitution, general solution, degree, quadratic rule