When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. How many and what type of solutions does the quadratic equation have?

Group of answer choices

1 Rational Solutions

2 Imaginary Solutions

2 Irrational Solutions

2 Rational Solutions

Respuesta :

Answer: 2 rational solutions

Step-by-step explanation:

When the discriminant,  b² + 2a,  is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7

When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.

What is discriminant ?

Discriminant is a number that can be calculated from any quadratic equation.

What is quadratic equation?

A quadratic equation is an equation that can be written in the form of [tex]ax^2+bx+c[/tex]  (where[tex]a\neq 0[/tex]).

Formula for the Discriminant [tex]=b^2-4ac[/tex]

Also,

If Discriminant is Positive and perfect square then quadratic equation will have Two Real Rational Solutions.

We have,

Discriminant [tex]=49[/tex]

So,

We have Discriminant which is a positive number and also it is a perfect square. That means quadratic equation will have Two Real Rational Solutions.

Hence, we can say that When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.

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