6 months ago
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Robert Richard
The derivative of the quadratic formula is both values of x, which are obtained by addressing the quadratic equation. These derivatives of a quadratic equation are also called absolute nos of the formula. For example, the roots of the formula x2 - 3x - 4 = 0 are x = -1 and x = four because each satisfies the formula. that is,
At x = -1, (-1 )2 - 3( -1) - 4 = 1 + 3 - 4 = 0
At x = 4, (4 )2 - 3( 4) - 4 = 16 - 12 - 4 = 0
There are different methods for finding the derivative of a quadratic equation. The use of the quadratic formula calculator is one of them.
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13 Answers
Roots of quadratic equations are TWO values of `x ` ,If a quadratic equation can be factored, the roots of the equation can be found using the factors.
Hi Robert, I would like to help you!
Yes, that's right! The use of the quadratic formula is one of the ways to find the roots of a quadratic equation. This formula is the following: where a, b and c are taken from:
Hence, for your example, a=1, b=-3 and c=4.
Once you have put these in the quation, your answers for x are 4 and -1
The quadratic formula can be used to solve quadratic equations that you are unable to factorise. Using the formula (-b ± sqrt(b^2 - 4ac)) / 2a. Where a quadratic is in the form ax^2 + bx + c = 0
substituting the values of a=1 b=-3 and c=-4
x = (-(-3) ± √((-3)² - 4(1)(-4))) / (2(1))
when simplified results in
x = (3 ± √(9 + 16)) / 2
x = (3 ± √25) / 2
Hence
x = (3 + 5) / 2 or x = (3 - 5) / 2
x = -1/4