Who is the father of quadratic equation?
One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications….Muhammad ibn Musa al-Khwarizmi.
| Muḥammad ibn Mūsā al-Khwārizmī | |
|---|---|
| Born | c. 780 |
| Died | After 847 (aged c. 70) |
| Academic background | |
| Academic work |
Who invented quadratic equation formula?
Around 700AD the general solution for the quadratic equation, this time using numbers, was devised by a Hindu mathematician called Brahmagupta, who, among other things, used irrational numbers; he also recognised two roots in the solution.
What formula is B² 4ac?
discriminant
The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has.
Are there two quadratic formulas?
Quadratic Equations Having Common Roots The two quadratic equation having common roots are a1x2+b1x+c1=0 a 1 x 2 + b 1 x + c 1 = 0 , and a2x2+b2x+c2=0 a 2 x 2 + b 2 x + c 2 = 0 .
What is b2 − 4ac?
The quantity b2−4ac is called the discriminant of the polynomial. If b2−4ac < 0 the equation has no real number solutions, but it does have complex solutions. If b2−4ac = 0 the equation has a repeated real number root. If b2−4ac > 0 the equation has two distinct real number roots.
What is b2 4ac called?
The solution depends on the value of b2 – 4ac. This term is called the “discriminant”.
What do you need to know about the quadratic formula?
Know what the formula is used for. The formula is used to find the value of in a quadratic equation. A quadratic equation takes the form of . Remember that a quadratic equation will have two roots (two values for ). Using the quadratic formula will provide you with these roots.
Which is the best song to memorize the quadratic formula?
Sing to the tune of “Pop Goes the Weasel. ” If you don’t remember this song, it is the one that begins “Ring around the mulberry bush….” This is a common song and lyric used to remember the quadratic formula, and it is quick and easy to memorize.
Which is an alternative parameterization of the quadratic equation?
Some sources, particularly older ones, use alternative parameterizations of the quadratic equation such as ax2 + 2bx + c = 0 or ax2 − 2bx + c = 0 , where b has a magnitude one half of the more common one, possibly with opposite sign.
Why is the Blue part of the quadratic equation called the discriminant?
The solution(s) to a quadratic equation can be calculated using the Quadratic Formula: The “±” means we need to do a plus AND a minus, so there are normally TWO solutions ! The blue part (b 2 – 4ac) is called the “discriminant”, because it can “discriminate” between the possible types of answer: