Quadratic Formula Introduction,Examples with Step-by-Step Explanations

The problems about Quadratic Formula

Topic	Problem	Solution
None	Solve by the quadratic formula. List the solution…	Given the quadratic equation $3 x^{2} + x - 10 = 0$ , we can identify the coefficients as $a = 3$ , …
None	A baseball player swings and hits a pop fly strai…	The height of the baseball in meters $t$ seconds after it is hit is given by the quadratic function…
None	Solve the equation using the quadratic formula. \…	Given the quadratic equation $x^{2} + 9 x + 5 = 0$ , we are to find the solutions for $x$ .
None	A ball is thrown from a height of 49 meters with …	We are given a ball thrown from a height of 49 meters with an initial downward velocity of 2 m/s. T…
None	A model rocket is launched with an initial upward…	We are given a model rocket is launched with an initial upward velocity of 204 ft/s. The rocket's h…
None	QUESTION 1 Quadratic Equation Choose one $\cdot 5…	Given the quadratic equation $x^{2} + 4 x - 5 = 0$
None	A model rocket is launched with an initial upward…	The problem is asking for the time $t$ when the height $h$ of the rocket is 35 meters. This is a qu…
None	Use the quadratic formula to solve for $x$ . \[ 5 …	Given the quadratic equation $5 x^{2} + 2 x - 2 = 0$ , we are asked to find the solutions for $x$ .
None	Use the quadratic formula to solve for $x$ \[ 6 x…	Given the quadratic equation $6 x^{2} - 9 x + 1 = 0$ , we are asked to find the solutions for $x$ .
None	Use the quadratic formula to find both solutions …	Given the quadratic equation $3 x^{2} - x + 4 = 0$ , we can identify the coefficients as $a = 3$ , \(b=-1\…
None	$x^{2} + x - 1 = 0$	The given equation is a quadratic equation in the form $a x^{2} + b x + c = 0$ , where $a = 1$ , $b = 1$ , a…
None	Solve the equation using the quadratic formula. \…	The given equation is a quadratic equation in the form of $a x^{2} + b x + c = 0$ . The quadratic form…
None	Find the zeros of the function. Give exact answer…	Given the quadratic equation $x^{2} + 7 x - 3 = 0$ , we can use the quadratic formula to find the exa…
None	9 Solve the quadratic equation \( 21 x^{2}-12 x+1…	$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
None	find the zeros of $3 x^{2} + 13 x - 10 = 0$	$Δ = b^{2} - 4 a c$
None	$3 x^{2} + 3 = 0$	$x^{2} = - 1$
None	$3 x^{2} - 5 x + 2 = 0$ è	$Quadratic formula: x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$