completing the square, math homework help
completing the square, math homework help
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Solve the equation by completing the square.
x2 - 10x + 28 = 0
a. x ≈ 3.3, x ≈ 6.7
b. x = 5 + i√3, x = 5 − i√3
c. x ≈ 18.5, x ≈ 1.5
d. x = 10 + i√3 , x = 10 − i√3
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Rewrite the equation so that the left side is a factored perfect square.
3×2 – 4x = 2
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Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial.
x2 + 8x + 9 = – 9
a. x2 + 8x + 16 = 16
b. x2 + 8x + 16 =- 2
c. x2 + 8x + 64 = 46
d. x2 + 8x + 64 = 64
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Find the value of c that will make the expression a perfect square trinomial.
x2 + 0.6x + c
a. 0.3
b. 0.36
c. 0.9
d. 0.09
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Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial.
A. | |
B. | |
C. | |
D. |
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Write an equation equivalent to the one below by writing the trinomial as a perfect square trinomial.
x2 – 4x + 1 = 0
a. x2 – 4x + 4 = -3
b. x2 – 4x + 5 = 0
c. x2 - 4x + 4 = 3
d. x2 - 4x + 4 = 5
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Find the value of c that will make the expression a perfect square trinomial.
x2 - 15x + c
a. -7.5
b. 7.5
c. -56.25
d. 56.25
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Rewrite the equation by factoring the perfect square trinomial.
x2 + 8x + 16 = 7
a. (x + 4)2 = 7
b. (x – 4)2 = 7
c. (x + 8)2 = 7
d. (x – 8)2 = 7
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Rewrite the equation by factoring the perfect square trinomial.
x2 + 12x + 36 = 25
a. (x - 6)2 = 5
b. (x - 6)2 = 25
c. (x + 6)2 = 25
d. (x + 6)2 = 5