Answer:
Step-by-step explanation:
(a)
For the quadratic equation of the form ,
The discriminant is given as:
Simplifying the given quadratic equation:
[(x-7)^2] - 62 = 19
∴ (x^2) - 14x + 49 = 81
∴ (x^2) - 14x - 32 = 0
Comparing with the standard form of quadratic equation:
a = 1; b = -14; c = -32
∴ Discriminant = (b^2) - 4ac = 196 + 128 = 324
Since Discriminant > 0,
The roots will be real and distinct.
(b)
This equation can be factored as:
(x - 16)(x + 2) = 0;
∴ x = 16 ; x = -2, are the two roots of the equation.
Answer:
8, 9, and 10
Step-by-step explanation:
see attachment
Hello! The error that Clara made was that she didn't combine the r's together. For questions like these, we would combine like terms. The 6b part is correct, because 8b - 2b is 6b. But, the other r needs to be combined with the -4r, and in this case we would add, because subtracting a negative number turns the problem from subtracting to adding. -4r - (-r) is -3r. The correct result is really 6b - 3r.
Answer:
x = 20
Step-by-step explanation:
Diagonals bisect so you can set the two equal to each other
3x + 3 = 6x - 57
Solve:
3 = 3x - 57
60 = 3x
20 = x
According to bodmas, we do the brackets first so four times three is 12
And 18 divided by six is 3
So now we have 12+3 which is 15
So the value of the expression is 15