The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-
2x^2 - 4x - x + 2 = 0
now factor by grouping
2x(x - 2) - 1(x - 2) = 0
(x - 2) is common so
(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.
The last example is solved in the same way.
Square on the right is .9765 the measurements of the square on the left or 85:83
Step-by-step explanation:
step 1. m: m is the variable, 1 is the coefficient, 1 is the degree, constant is 0.
step 2. 3t^2 +4t - 6: t is the variable, 3 and 4 are the coefficients, 2 is the degree, -6 is the constant.
step 3. 2 - h: h is the variable, -1 is the coefficient, 1 is the degree (highest variable exponent), the constant is 2.
step 4. -7a^2: a is the variable, -7 is the coefficient (before the variable), 2 is the degree, the constant is 0.
Answer: 1/2+11/3 = 4.1*6
Step-by-step explanation:
Answer:2
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