10] The values of the variable which satisfy the given quadratic equation are
called the of the quadratic equation. *
Answers
Answer:
The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.
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Step-by-step explanation:
The values of the variable which satisfy the given quadratic equation are
called the Roots of the quadratic equation.
Quadratic Equation is an Equation with degree 2.
ax² + bx + c = 0 is an Quadratic Equation where a , b and c are real numbers and a ≠ 0
Any Quadratic Equation can be written in the form
k(x - m)(x - n) = 0
where m and n are the roots of the quadratic equation.
For example Quadratic Equation
x² + 4x = -3
x = - 1 , -3 are the roots of the equation as these value satisfies the equation.
x² + 4x = -3
=> x² + 4x + 3 = 0
=> x² + x + 3x + 3 = 0
=> x( x + 1) + 3(x + 1) = 0
=> (x + 3) (x + 1) = 0
=> (x - (-3))(x - (-1)) =0
-3 , -1 are roots of the equations
The values of the variable which satisfy the given quadratic equation are
called the ROOTS of the quadratic equation.
Roots are basically the solution of the equation.
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