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The discriminant says;

b^2 - 4ac

1^2 - 4(2)(7)

= 1 - 56 < 1

So, less than 1 and no real roots

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Q: Which statement best explain why there is no real solution to the quadratic equation 2x2 plus x plus 7 equals 0?
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Explain how you an determine if the number is a solution of an equation?

Substitute the number in the equation. If the resulting statement is true the number is a solution to the equation.


Explain a Quadratic equation and how to solve it?

A quadratic equation is any equation that can be expressed as ax2 + bx + c = 0.Note that the a, b and c are specified, x is the only unknown.Example:x2 - 10x - 24 = 0a, b, c are the coefficients of each term.Now x2 appears not to have a coefficient, but remember x2 is the same thing as 1x2 so the coefficient is 1. So a = 1.The second term has a coefficient of -10 because it has a minus, not plus sign in front of it so b = -10.Likewise for c, the third term. C = -24.So you have your terms.There are two popular ways of solving this.You can factorise the equation, or use the Quadratic Formula.I prefer to use the Quadratic Formula, as it is very straightforward, you just need to practise it.The quadratic formula is x = (-b&plusmn;&radic;(b2-4ac))/2a


Explain why the roots of a quadratic equation are imaginary if the value of the discriminant is less than 0?

The square of any real number is non-negative. So no real number can have a negative square. Consequently, a negative number cannot have a real square root. If the discriminant is less than zero, the quadratic equation requires the square root of that negative value, which cannot be real and so must be imaginary.


Explain the conditions under which a quadratic equation can be solved using simple rearrangement versus using the quadratic formula?

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Is it possible for a quadratic equation to have no real solution give examle ansd explain?

Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you


Explain how you an determine if the number is a solution of an equation?

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Explain why x2 plus 4x plus 4 equals 0 has 2 x intercepts?

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