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SteveOh, isn't that just a beautiful quadratic function? Let's take a moment to appreciate the way it curves and flows. Remember, you can find the vertex of this function by using the formula x = -b/2a, which will give you the x-coordinate of the vertex. Keep exploring and painting with these mathematical functions, my friend.
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What are the roots of the quadratic equation x squared - 4x -5 equals 0 are?
x2 - 4x - 5 = zero( x - 5 ) ( x + 1 ) = zerox - 5 = zero ...... X = 5x + 1 = Zero ...... X = -1
What is 4x squared times 4x squared?
When you multiply 4x² by 4x², you multiply the coefficients (4 * 4 = 16) and add the exponents of the variables (x² * x² = x^(2+2) = x⁴). Therefore, the result is 16x⁴.
What is the expression in factored form 16x2 - 25?
16x^2 - 25 Recognise that both 16 and 25 are squared numbers, 16 = 4^(2) & 25 = 5^(2) Substituting 4^(2)x^(2) - 5^(2) = > (4x)^(2) - 5^(2) We now have two squared terms with a negative between them. NB two squared terms with positive does NOT factor. Factoring (4x - 5)(4x + 5)
Find the solutions for 4x squared plus 4x plus 1 equals 0?
x = -½
Fx equals x cubed plus 4?
x = ¼x^4 + 4x + k where k can be any number
