Subtract 21 from both sides.
If that's + 4t, the answer is (t - 3)(t + 7) and t = 3, -7
If that's - 4t, the answer is (t + 3)(t - 7) and t = -3, 7
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
y=±√15
Using the quadratic equation formula: x = 8.42 or x = -1.42
x2+3x+2=0 (x+2)(x+1)=0 x=-2 or -1
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
(3x+4)(3x-4)=0 x=±4/3
Solve by factoring. Solve by taking the square root of both sides.
To solve a quadratic equation using factoring, follow these steps: Write the equation in the form ax2 bx c 0. Factor the quadratic expression on the left side of the equation. Set each factor equal to zero and solve for x. Check the solutions by substituting them back into the original equation. The solutions are the values of x that make the equation true.
When the equation is a polynomial whose highest order (power) is 2. Eg. y= x2 + 2x + 10. Then you can use quadratic formula to solve if factoring is not possible.
y=±√15
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Quadratic equation formula
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
Using the quadratic equation formula:- x = 3.795831523 or x = -5.795831523
The discriminant for the quadratic is b2-4ac = 302 - 4*4*45 = 900 - 720 = 180 Since 180 is not a perfect square, the roots of the equation are irrational and it is far from straightforward to solve such an equation by factoring.