contestada

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of 0. How many real number solutions does the equation have?

Respuesta :

yixuann
it has one solution. when discriminant=0, tangent to the curve( means touches at one point ) hence one solution.
calculista

we know that

the formula to solve a quadratic equation of the form [tex]ax^{2}+bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}[/tex]

The discriminant is equal to

[tex](b^{2}-4ac)[/tex]

If the discriminant is equal to zero

then

[tex](b^{2}-4ac)=0[/tex]

substitute in the formula

[tex]x=\frac{-b(+/-)\sqrt{0}}{2a}[/tex]

[tex]x=-\frac{b}{2a}[/tex]-------> only one real number solution

therefore

the answer is

the number of solutions is equal to [tex]1[/tex]