Answer :
The value of that guarantees the equation has exactly one real root is Zero
A quadratic equation has exactly one real number solution, then the value of its discriminant is always zero.
Quadratic
The word Quadratic is derived from the word Quad which means square. In other words, a quadratic polynomial is a polynomial function of degree 2.There are many scenarios where quadratic polynomials are used. When a rocket is launched, its path is described by the zero of a quadratic polynomial.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).
A quadratic equation in variable x is of the form ax2 + bx + c = 0, where a ≠ 0.
In the case of one real solution, the value of discriminant b2 - 4ac is zero.
For example, x2 + 2x + 1 = 0 has only one solution x = -1.
Discriminant = b2 - 4ac = 22 - 4 (1) (1) = 0
Thus, a quadratic equation has exactly one real number solution, then the value of the discriminant is always zero.
The value of that guarantees the equation has exactly one real root is Zero.
To learn more about Quadratic and Polynomial visit:
brainly.com/question/17489661
#SPJ4
