3 years ago

What are the solutions of the quadratic function 49x2=9

Mathematics

2 answers:

aleksandrvk [35]3 years ago

5 0

49x² = 9

Divide both sides by 49:

x² = 9/49

Take the square root of both sides:

x = +/- √9/49

Simplify:

x = -3/7 and 3/7

mylen [45]3 years ago

3 0

Answer:

49x^2 - 9 = 0As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:49 = 7^29 = 3^2x^2 = (x)^2so...(7x - 3)(7x + 3) = 07x - 3 = 0 7x + 3 = 0x = 3/7 x = -3/7

Step-by-step explanation:

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lyudmila [28]

Answer:

x= 1, 4

Step-by-step explanation:

$log_{x+2} (9x) =2\\\\9x = (x+2)^2 \\\\(x+2)^2 - 9x = 0\\\\x^2 +4x + 4-9x = 0\\\\x^2 - 5x +4= 0\\\\x^2 - 4x-x+4=0\\\\x(x-4)-1(x-4)=0\\\\(x-4)(x-1)=0\\\\x-4 =0\: or\: x - 1=0\\\\x = 4\: or\: x = 1\\\\x = 1,\: 4$